On the analogy between real reductive groups and Cartan motion groups: A proof of the Connes-Kasparov isomorphism

Alexandre Afgoustidis

Type: Article

Publication Date: 2019-03-12

Citations: 11

DOI: https://doi.org/10.1016/j.jfa.2019.02.023

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arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF
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Journal of Functional Analysis - View

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+ PDF Chat	The Mackey bijection for complex reductive groups and continuous fields of reduced group C*-algebras	2020	Nigel Higson Ángel Ramón Francés Román
+ PDF Chat	Mackey analogy as deformation of $${\mathcal {D}}$$-modules	2022	Shilin Yu
+ PDF Chat	How tempered representations of a semisimple Lie group contract to its Cartan motion group	2015	Alexandre Afgoustidis
+	On the Connes–Kasparov isomorphism, II	2024	Pierre Clare Nigel Higson Yanli Song
+ PDF Chat	On the analogy between real reductive groups and Cartan motion groups: the Mackey–Higson bijection	2021	Alexandre Afgoustidis
+ PDF Chat	Continuity of the Mackey–Higson bijection	2021	Alexandre Afgoustidis Anne‐Marie Aubert
+ PDF Chat	On the analogy between real reductive groups and Cartan motion groups: Contraction of irreducible tempered representations	2020	Alexandre Afgoustidis
+	The Mackey bijection for complex reductive groups and continuous fields of reduced group C*-algebras	2019	Nigel Higson Ángel Ramón Francés Román
+	Dirac Operators and Representation Theory	2024
+ PDF Chat	On the analogy between real reductive groups and Cartan motion groups. I: The Mackey-Higson bijection	2021	Alexandre Afgoustidis

Works Cited by This (21)

Action	Title	Year	Authors
+	Classifying Space for Proper Actions and K-Theory of Group C*-algebras	2004	Paul Baum Alain Connes Nigel Higson
+	Representations of Real Reductive Lie Groups	1981	David A. Vogan
+	Progrès récents sur la conjecture de Baum-Connes. Contribution de Vincent Lafforgue	2000	Georges Skandalis
+ PDF Chat	On the Contraction of Groups and Their Representations	1953	Erdal İnönü E. P. Wigner
+	Classification of the irreducible representations of semisimple Lie groups	1977	David A. Vogan
+ PDF Chat	A geometric construction of the discrete series for semisimple Lie groups	1979	Michael Atiyah Wilfried Schmid
+ PDF Chat	The Connes-Kasparov conjecture for almost connected groups and for linear p-adic groups	2003	Jérôme Chabert Siegfried Echterhoff Ryszard Nest
+ PDF Chat	Unitary representations of group extensions. I	1958	George W. Mackey
+	<i>K</i>-THEORY FOR THE REDUCED C-ALGEBRA OF A SEMI-SIMPLE LIE GROUP WITH REAL RANK 1 AND FINITE CENTRE	1984	Alain Valette
+ PDF Chat	A theorem on the Schwartz space of a reductive Lie group	1975	James Arthur