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Hyperbolic actions of higher rank lattices come from rank-one factors
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2024
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Uri Bader
Pierre‐Emmanuel Caprace
Alex Furman
Alessandro Sisto
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PDF
Chat
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Simple 𝑝-adic Lie groups with abelian Lie algebras
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2024
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Pierre‐Emmanuel Caprace
Ashot Minasyan
D. Osin
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PDF
Chat
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Amalgams of rational unipotent groups and residual nilpotence
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2024
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Pierre‐Emmanuel Caprace
Timothée Marquis
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PDF
Chat
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Lattice envelopes of right-angled Artin groups
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2024
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Pierre‐Emmanuel Caprace
Tom De Medts
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A totally disconnected invitation to locally compact groups
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2023
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Pierre‐Emmanuel Caprace
George A. Willis
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Growing trees from compact subgroups
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2023
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Pierre‐Emmanuel Caprace
Timothée Marquis
Colin D. Reid
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PDF
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A type I conjecture and boundary representations of hyperbolic groups
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2023
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Pierre‐Emmanuel Caprace
Mehrdad Kalantar
Nicolas Monod
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PDF
Chat
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Tame automorphism groups of polynomial rings with property (T) and infinitely many alternating group quotients
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2023
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Pierre‐Emmanuel Caprace
Martin Kassabov
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PDF
Chat
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Piecewise strongly proximal actions, free boundaries and the Neretin groups
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2023
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Pierre‐Emmanuel Caprace
Adrien Le Boudec
Nicolás Matte Bon
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Simple $p$-adic Lie groups with abelian Lie algebras
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2023
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Pierre‐Emmanuel Caprace
Ashot Minasyan
D. Osin
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PDF
Chat
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Hyperbolic generalized triangle groups, property (T) and finite simple quotients
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2022
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Pierre‐Emmanuel Caprace
Marston Conder
Marek Kaluba
Stefan Witzel
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PDF
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A radius <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>1</mml:mn></mml:math> irreducibility criterion for lattices in products of trees
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2022
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Pierre‐Emmanuel Caprace
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Commensurated subgroups and micro-supported actions (with an appendix by Dominik Francoeur)
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2022
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Pierre‐Emmanuel Caprace
Adrien Le Boudec
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Hyperbolic actions of higher-rank lattices come from rank-one factors
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2022
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Uri Bader
Pierre‐Emmanuel Caprace
Alex Furman
Alessandro Sisto
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Tame automorphism groups of polynomial rings with property (T) and infinitely many alternating group quotients
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2022
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Pierre‐Emmanuel Caprace
Martin Kassabov
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On compact uniformly recurrent subgroups
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2022
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Pierre‐Emmanuel Caprace
Gil Goffer
Waltraud Lederle
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PDF
Chat
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Locally normal subgroups and ends of locally compact Kac-Moody groups
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2021
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Pierre‐Emmanuel Caprace
Timothée Marquis
Colin D. Reid
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PDF
Chat
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Locally normal subgroups and ends of locally compact Kac-Moody groups
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2021
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Pierre‐Emmanuel Caprace
Timothée Marquis
Colin D. Reid
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PDF
Chat
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Growing trees from compact subgroups
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2021
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Pierre‐Emmanuel Caprace
Colin D. Reid
Timothée Marquis
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Locally normal subgroups and ends of locally compact Kac-Moody groups
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2021
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Pierre‐Emmanuel Caprace
Timothée Marquis
Colin D. Reid
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A totally disconnected invitation to locally compact groups
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2021
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Pierre‐Emmanuel Caprace
George A. Willis
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+
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A type I conjecture and boundary representations of hyperbolic groups
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2021
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Pierre‐Emmanuel Caprace
Mehrdad Kalantar
Nicolas Monod
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+
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Growing trees from compact subgroups
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2021
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Pierre‐Emmanuel Caprace
Timothée Marquis
Colin D. Reid
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+
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Piecewise strongly proximal actions, free boundaries and the Neretin groups
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2021
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Pierre‐Emmanuel Caprace
Adrien Le Boudec
Nicolás Matte Bon
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PDF
Chat
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Groups with irreducibly unfaithful subsets for unitary representations
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2020
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Pierre‐Emmanuel Caprace
Pierre de la Harpe
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Commensurated subgroups and micro-supported actions
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2020
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Pierre‐Emmanuel Caprace
Adrien Le Boudec
Dominik Francoeur
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+
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Hyperbolic generalized triangle groups, property (T) and finite simple quotients
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2020
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Pierre‐Emmanuel Caprace
Marston Conder
Marek Kaluba
Stefan Witzel
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+
PDF
Chat
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Bounding the covolume of lattices in products
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2019
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Pierre‐Emmanuel Caprace
Adrien Le Boudec
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Erratum and addenda to "Isometry groups of non-positively curved spaces: discrete subgroups"
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2019
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Pierre‐Emmanuel Caprace
Nicolas Monod
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PDF
Chat
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On the residual and profinite closures of commensurated subgroups
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2019
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Pierre‐Emmanuel Caprace
Peter H. Kropholler
Colin D. Reid
Phillip Wesolek
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PDF
Chat
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A sixteen-relator presentation of an infinite hyperbolic Kazhdan group
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2019
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Pierre‐Emmanuel Caprace
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PDF
Chat
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Finite and Infinite Quotients of Discrete and Indiscrete Groups
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2019
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Pierre‐Emmanuel Caprace
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PDF
Chat
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Lattices in amenable groups
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2019
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Uri Bader
Pierre‐Emmanuel Caprace
Tsachik Gelander
Shahar Mozes
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Erratum and addenda to "Isometry groups of non-positively curved spaces: discrete subgroups"
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2019
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Pierre‐Emmanuel Caprace
Nicolas Monod
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PDF
Chat
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Approximating Simple Locally Compact Groups by Their Dense Locally Compact Subgroups
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2018
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Pierre‐Emmanuel Caprace
Colin D. Reid
Phillip Wesolek
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PDF
Chat
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Bounding the covolume of lattices in products
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2018
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Pierre‐Emmanuel Caprace
Adrien Le Boudec
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PDF
Chat
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Indicability, residual finiteness, and simple subquotients of groups acting on trees
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2018
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Pierre‐Emmanuel Caprace
Phillip Wesolek
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On the linearity of lattices in affine buildings and ergodicity of the singular Cartan flow
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2018
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Uri Bader
Pierre‐Emmanuel Caprace
Jean Lécureux
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Non-discrete simple locally compact groups
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2018
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Pierre‐Emmanuel Caprace
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PDF
Chat
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CHABAUTY LIMITS OF SIMPLE GROUPS ACTING ON TREES
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2018
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Pierre‐Emmanuel Caprace
Nicolas Radu
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Non-discrete simple locally compact groups
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2018
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Pierre‐Emmanuel Caprace
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Groups with irreducibly unfaithful subsets for unitary representations
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2018
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Pierre‐Emmanuel Caprace
Pierre de la Harpe
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Future directions in locally compact groups: a tentative problem list
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2018
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Pierre‐Emmanuel Caprace
Nicolas Manod
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Future directions in locally compact groups
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2018
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Pierre‐Emmanuel Caprace
Nicolas Monod
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Closed sets of real roots in Kac-Moody root systems
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2018
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Pierre‐Emmanuel Caprace
Timothée Marquis
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A radius 1 irreducibility criterion for lattices in products of trees
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2018
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Pierre‐Emmanuel Caprace
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Groups with irreducibly unfaithful subsets for unitary representations
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2018
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Pierre‐Emmanuel Caprace
Pierre de la Harpe
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+
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Future directions in locally compact groups
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2018
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Pierre‐Emmanuel Caprace
Nicolas Monod
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PDF
Chat
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Corrigendum to “Decomposing locally compact groups into simple pieces” [Math. Proc. Camb. Phil. Soc. 150 (1) (2011) 97-128]
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2017
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Pierre‐Emmanuel Caprace
Nicolas Monod
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A sixteen-relator presentation of an infinite hyperbolic Kazhdan group
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2017
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Pierre‐Emmanuel Caprace
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Approximating simple locally compact groups by their dense locally compact subgroups
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2017
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Pierre‐Emmanuel Caprace
Colin D. Reid
Phillip Wesolek
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+
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On the residual and profinite closures of commensurated subgroups
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2017
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Pierre‐Emmanuel Caprace
Peter H. Kropholler
Colin D. Reid
Phillip Wesolek
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PDF
Chat
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LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART I: GENERAL THEORY
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2017
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Pierre‐Emmanuel Caprace
Colin D. Reid
George A. Willis
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PDF
Chat
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LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART II: COMPACTLY GENERATED SIMPLE GROUPS
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2017
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Pierre‐Emmanuel Caprace
Colin D. Reid
George A. Willis
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On the residual and profinite closures of commensurated subgroups
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2017
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Pierre‐Emmanuel Caprace
Peter H. Kropholler
Colin D. Reid
Phillip Wesolek
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+
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Finite and infinite quotients of discrete and indiscrete groups
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2017
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Pierre‐Emmanuel Caprace
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A sixteen-relator presentation of an infinite hyperbolic Kazhdan group
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2017
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Pierre‐Emmanuel Caprace
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On the linearity of lattices in affine buildings and ergodicity of the singular Cartan flow.
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2016
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Uri Bader
Pierre‐Emmanuel Caprace
Jean Lécureux
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Simplicity of Twin Tree Lattices with Non-trivial Commutation Relations
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2016
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Pierre‐Emmanuel Caprace
Bertrand Rémy
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+
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On the linearity of lattices in affine buildings and ergodicity of the singular Cartan flow
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2016
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Uri Bader
Pierre‐Emmanuel Caprace
Jean Lécureux
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PDF
Chat
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Amenable hyperbolic groups
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2015
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Pierre‐Emmanuel Caprace
Yves Cornulier
Nicolas Monod
Romain Tessera
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An indiscrete Bieberbach theorem: from amenable CAT(0) groups to Tits buildings
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2015
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Pierre‐Emmanuel Caprace
Nicolas Monod
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PDF
Chat
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Orthogonal forms of Kac–Moody groups are acylindrically hyperbolic
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2015
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Pierre‐Emmanuel Caprace
David Hume
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PDF
Chat
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Erratum to ’Buildings with isolated subspaces and relatively hyperbolic Coxeter groups’
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2015
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Pierre‐Emmanuel Caprace
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PDF
Chat
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An indiscrete Bieberbach theorem: from amenable CAT$(0)$ groups to Tits buildings
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2015
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Pierre‐Emmanuel Caprace
Nicolas Monod
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PDF
Chat
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Totally Disconnected Locally Compact Groups with a Linear Open Subgroup
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2015
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Pierre‐Emmanuel Caprace
Thierry Stulemeijer
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An indiscrete Bieberbach theorem: from amenable CAT(0) groups to Tits buildings
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2015
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Pierre‐Emmanuel Caprace
Nicolas Monod
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PDF
Chat
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Lectures on proper CAT(0) spaces and their isometry groups
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2014
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Pierre‐Emmanuel Caprace
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Relative amenability
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2014
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Pierre‐Emmanuel Caprace
Nicolas Monod
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+
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Orthogonal forms of Kac--Moody groups are acylindrically hyperbolic
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2014
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Pierre‐Emmanuel Caprace
David Hume
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PDF
Chat
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On embeddings into compactly generated groups
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2014
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Pierre‐Emmanuel Caprace
Yves de Cornulier
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PDF
Chat
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Gelfand pairs and strong transitivity for Euclidean buildings
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2014
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Pierre‐Emmanuel Caprace
Corina Ciobotaru
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Limits of contraction groups and the Tits core
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2014
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Pierre‐Emmanuel Caprace
George A. Willis
Colin D. Reid
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+
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Lectures on CAT(0) spaces and their isometry groups
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2014
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Pierre‐Emmanuel Caprace
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Boundary Moufang trees with abelian root groups of characteristic p
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2014
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Pierre‐Emmanuel Caprace
Matthias Grüninger
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PDF
Chat
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Automorphism groups of right-angled buildings: simplicity and local splittings
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2014
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Pierre‐Emmanuel Caprace
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Orthogonal forms of Kac--Moody groups are acylindrically hyperbolic
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2014
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Pierre‐Emmanuel Caprace
David Hume
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+
PDF
Chat
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Trees, contraction groups, and Moufang sets
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2013
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Pierre‐Emmanuel Caprace
Tom De Medts
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+
PDF
Chat
|
Locally normal subgroups of simple locally compact groups
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2013
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Pierre‐Emmanuel Caprace
Colin D. Reid
George A. Willis
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PDF
Chat
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Regular elements in CAT(0) groups
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2013
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Pierre‐Emmanuel Caprace
Gašper Zadnik
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+
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Limits of contraction groups and the Tits core
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2013
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Pierre‐Emmanuel Caprace
Colin D. Reid
George A. Willis
|
+
PDF
Chat
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On conjugacy separability of some Coxeter groups and parabolic-preserving automorphisms
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2013
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Pierre‐Emmanuel Caprace
Ashot Minasyan
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Relative amenability
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2013
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Pierre‐Emmanuel Caprace
Nicolas Monod
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+
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Limits of contraction groups and the Tits core
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2013
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Pierre‐Emmanuel Caprace
Colin D. Reid
George A. Willis
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PDF
Chat
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Fixed points and amenability in non-positive curvature
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2012
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Pierre‐Emmanuel Caprace
Nicolas Monod
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+
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On conjugacy separability of some Coxeter groups and parabolic-preserving automorphisms
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2012
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Pierre‐Emmanuel Caprace
Ashot Minasyan
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+
PDF
Chat
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Open subgroups of locally compact Kac–Moody groups
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2012
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Pierre‐Emmanuel Caprace
Timothée Marquis
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+
PDF
Chat
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A lattice in more than two Kac-Moody groups is arithmetic
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2012
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Pierre‐Emmanuel Caprace
Nicolas Monod
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On conjugacy separability of some Coxeter groups and parabolic-preserving automorphisms
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2012
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Pierre‐Emmanuel Caprace
Ashot Minasyan
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Regular elements in CAT(0) groups
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2011
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Pierre‐Emmanuel Caprace
Gašper Zadnik
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PDF
Chat
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Rank Rigidity for Cat(0) Cube Complexes
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2011
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Pierre‐Emmanuel Caprace
Michah Sageev
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PDF
Chat
|
Simple groups without lattices
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2011
|
Uri Bader
Pierre‐Emmanuel Caprace
Tsachik Gelander
Shahar Mozes
|
+
PDF
Chat
|
Bipolar Coxeter groups
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2011
|
Pierre‐Emmanuel Caprace
Piotr Przytycki
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+
PDF
Chat
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Simple locally compact groups acting on trees and their germs of automorphisms
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2011
|
Pierre‐Emmanuel Caprace
Tom De Medts
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+
PDF
Chat
|
Combinatorial and group-theoretic compactifications of buildings
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2011
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Pierre‐Emmanuel Caprace
Jean Lécureux
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+
PDF
Chat
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Can An Anisotropic Reductive Group Admit A Tits System?
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2011
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Pierre‐Emmanuel Caprace
Timothée Marquis
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Regular elements in CAT(0) groups
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2011
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Pierre‐Emmanuel Caprace
Gašper Zadnik
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+
PDF
Chat
|
Twist-rigid Coxeter groups
|
2010
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Pierre‐Emmanuel Caprace
Piotr Przytycki
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+
PDF
Chat
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Decomposing locally compact groups into simple pieces
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2010
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Pierre‐Emmanuel Caprace
Nicolas Monod
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+
PDF
Chat
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Non-distortion of twin building lattices
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2010
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Pierre‐Emmanuel Caprace
Bertrand Rémy
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PDF
Chat
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Twin building lattices do not have asymptotic cut-points
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2010
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Pierre‐Emmanuel Caprace
François Dahmani
Vincent Guirardel
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PDF
Chat
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Rank-One Isometries of Buildings and Quasi-Morphisms of Kac–Moody Groups
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2009
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Pierre‐Emmanuel Caprace
Koji Fujiwara
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PDF
Chat
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On Geometric Flats in the CAT(0) Realization of Coxeter Groups and Tits Buildings
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2009
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Pierre‐Emmanuel Caprace
Frédéric Haglund
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PDF
Chat
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On the distortion of twin building lattices
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2009
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Pierre‐Emmanuel Caprace
Bertrand Rémy
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+
PDF
Chat
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On the distortion of twin building lattices
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2009
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Pierre‐Emmanuel Caprace
Bertrand Rémy
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+
PDF
Chat
|
At infinity of finite-dimensional CAT(0) spaces
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2009
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Pierre‐Emmanuel Caprace
Alexander Lytchak
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PDF
Chat
|
Amenable groups and Hadamard spaces with a totally disconnected isometry group
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2009
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Pierre‐Emmanuel Caprace
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PDF
Chat
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Buildings with isolated subspaces and relatively hyperbolic Coxeter groups
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2009
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Pierre‐Emmanuel Caprace
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“Abstract” homomorphisms of split Kac-Moody groups
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2009
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Pierre‐Emmanuel Caprace
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PDF
Chat
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Isometry groups of non-positively curved spaces: structure theory
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2009
|
Pierre‐Emmanuel Caprace
Nicolas Monod
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+
PDF
Chat
|
Isometry groups of non-positively curved spaces: discrete subgroups
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2009
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Pierre‐Emmanuel Caprace
Nicolas Monod
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+
PDF
Chat
|
Groups with a root group datum
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2009
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Pierre‐Emmanuel Caprace
Bertrand Rémy
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+
PDF
Chat
|
Simplicity and superrigidity of twin building lattices
|
2008
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Pierre‐Emmanuel Caprace
Bertrand Rémy
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+
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Isometry groups and lattices of non-positively curved spaces
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2008
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Pierre‐Emmanuel Caprace
Nicolas Monod
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+
PDF
Chat
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Some properties of non-positively curved lattices
|
2008
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Pierre‐Emmanuel Caprace
Nicolas Monod
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+
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Rank one isometries of buildings and quasi-morphisms of Kac-Moody groups
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2008
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Pierre‐Emmanuel Caprace
Koji Fujiwara
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PDF
Chat
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A uniform bound on the nilpotency degree of certain subalgebras of Kac–Moody algebras
|
2007
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Pierre‐Emmanuel Caprace
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Buildings with isolated subspaces and relatively hyperbolic Coxeter groups
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2007
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Pierre‐Emmanuel Caprace
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On 2-spherical Kac-Moody groups and their central extensions
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2007
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Pierre‐Emmanuel Caprace
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Reflection rigidity of 2-spherical Coxeter groups
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2007
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Pierre‐Emmanuel Caprace
Bernhard Mühlherr
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+
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Buildings with isolated subspaces and relatively hyperbolic Coxeter groups
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2007
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Pierre‐Emmanuel Caprace
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+
PDF
Chat
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Conjugacy of 2–spherical subgroups of Coxeter groups and parallel walls
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2006
|
Pierre‐Emmanuel Caprace
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PDF
Chat
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Simplicité abstraite des groupes de Kac–Moody non affines
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2006
|
Pierre‐Emmanuel Caprace
Bertrand Rémy
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On geometric flats in the {${\rm CAT}(0)$} realization of Coxeter groups and Tits buildings
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2006
|
Pierre‐Emmanuel Caprace
Frédéric Haglund
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Isomorphisms of Kac–Moody groups which preserve bounded subgroups
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2005
|
Pierre‐Emmanuel Caprace
Bernhard Mühlherr
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+
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Primitive symmetric spaces
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2005
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Pierre‐Emmanuel Caprace
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Conjugacy of one-ended subgroups of Coxeter groups and parallel walls
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2005
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Pierre‐Emmanuel Caprace
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Reflection triangles and parallel walls in Coxeter complexes
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2005
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Pierre‐Emmanuel Caprace
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Isomorphisms of Kac-Moody groups
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2005
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Pierre‐Emmanuel Caprace
Bernhard Mühlherr
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+
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Reflection triangles in Coxeter groups and biautomaticity
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2005
|
Pierre‐Emmanuel Caprace
Bernhard Mühlherr
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The Thick Frame of a Weak Twin Building
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2005
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Pierre‐Emmanuel Caprace
|