Adam Rennie

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Conformal transformations and equivariance in unbounded KK-theory	2024	Ada Masters Adam Rennie
+	The structure of the wave operator in four dimensions in the presence of resonances	2024	Angus Alexander Adam Rennie
+	Curvature and Weitzenböck formula for spectral triples	2024	Bram Mesland Adam Rennie
+	Topological Levinson's theorem in presence of embedded thresholds and discontinuities of the scattering matrix: a quasi-1D example	2024	Vic Austen Daniel Parra Adam Rennie Serge Richard
+ PDF Chat	Curvature and Weitzenbock formula for the Podle\'{s} quantum sphere	2024	Bram Mesland Adam Rennie
+	Levinson’s theorem for two-dimensional scattering systems: It was a surprise, it is now topological!	2024	Angus Alexander Thanh D. Nguyen Adam Rennie Serge Richard
+ PDF Chat	Curvature and Weitzenbock formula for spectral triples	2024	Bram Mesland Adam Rennie
+	The Bulk-Edge Correspondence via Kasparov Theory	2024	Adam Rennie
+ PDF Chat	Addendum to: “The Friedrichs angle and alternating projections in Hilbert C⁎-modules” [J. Math. Anal. Appl. 516 (2022) 126474]	2023	Koen van den Dungen Bram Mesland Adam Rennie
+	Morphisms of Cuntz-Pimsner algebras from completely positive maps	2023	Kevin Aguyar Brix Alexander Mundey Adam Rennie
+	The Friedrichs angle and alternating projections in Hilbert C⁎-modules	2022	Bram Mesland Adam Rennie
+	Curvature of differentiable Hilbert modules and Kasparov modules	2021	Bram Mesland Adam Rennie Walter D. van Suijlekom
+	The Friedrichs angle and alternating projections in Hilbert $C^{*}$-modules	2021	Bram Mesland Adam Rennie
+ PDF Chat	A Cuntz-Pimsner model for the C⁎-algebra of a graph of groups	2020	Alexander Mundey Adam Rennie
+ PDF Chat	The KO-valued spectral flow for skew-adjoint Fredholm operators	2020	Chris Bourne Alan L. Carey Matthias Lesch Adam Rennie
+ PDF Chat	The Godbillon–Vey invariant and equivariant KK-theory	2020	Lachlan MacDonald Adam Rennie
+ PDF Chat	The Cayley transform in complex, real and graded K-theory	2020	Chris Bourne Johannes Kellendonk Adam Rennie
+ PDF Chat	The Cuntz-Pimsner extension and mapping cone exact sequences	2019	Francesca Arici Adam Rennie
+ PDF Chat	Untwisting twisted spectral triples	2019	Magnus Goffeng Bram Mesland Adam Rennie
+ PDF Chat	Boundaries, spectral triples and $K$-homology	2019	Iain Forsyth Magnus Goffeng Bram Mesland Adam Rennie
+	Constructing KMS states from infinite-dimensional spectral triples	2019	Magnus Goffeng Adam Rennie Alexandr Usachev
+	Poincaré duality for Cuntz–Pimsner algebras	2019	Adam Rennie David Robertson Aidan Sims
+	The global properties of the finiteness and continuity of the Lorentzian distance	2019	Adam Rennie Ben Whale
+	FACTORISATION OF EQUIVARIANT SPECTRAL TRIPLES IN UNBOUNDED -THEORY	2018	Iain Forsyth Adam Rennie
+	Erratum to: ``Groupoid algebras as Cuntz-Pimsner algebras''	2018	Adam Rennie David Robertson Aidan Sims
+ PDF Chat	Chern Numbers, Localisation and the Bulk-edge Correspondence for Continuous Models of Topological Phases	2018	Chris Bourne Adam Rennie
+	The non-unital version of Connes' theorem on the Hochschild class of the Chern character	2018	Alan L. Carey Adam Rennie
+	Poincare duality for Cuntz-Pimsner algebras of bimodules	2018	Adam Rennie David Robertson Aidan Sims
+ PDF Chat	Non-Commutative Vector Bundles for Non-Unital Algebras	2017	Adam Rennie Aidan Sims
+ PDF Chat	Groupoid Fell bundles for product systems over quasi-lattice ordered groups	2017	Adam Rennie David Robertson Aidan Sims
+ PDF Chat	Groupoid algebras as Cuntz-Pimsner algebras	2017	Adam Rennie David Robertson Aidan Sims
+ PDF Chat	The K-Theoretic Bulk–Edge Correspondence for Topological Insulators	2017	Chris Bourne Johannes Kellendonk Adam Rennie
+ PDF Chat	Shift–tail equivalence and an unbounded representative of the Cuntz–Pimsner extension	2016	Magnus Goffeng Bram Mesland Adam Rennie
+	The Cuntz-Pimsner extension and mapping cone exact sequences	2016	Francesca Arici Adam Rennie
+ PDF Chat	Universal measurability and the Hochschild class of the Chern character	2016	Alan L. Carey Adam Rennie Fedor Sukochev Dmitriy Zanin
+ PDF Chat	Generalised time functions and finiteness of the Lorentzian distance	2016	Adam Rennie Ben Whale
+ PDF Chat	Indefinite Kasparov Modules and Pseudo-Riemannian Manifolds	2016	Koen van den Dungen Adam Rennie
+ PDF Chat	The Bulk-Edge Correspondence for the Quantum Hall Effect in Kasparov Theory	2015	Chris Bourne Alan L. Carey Adam Rennie
+	The extension class and KMS states for Cuntz--Pimsner algebras of some bi-Hilbertian bimodules	2015	Adam Rennie David Robertson Aidan Sims
+	Groupoid Fell bundles for product systems over quasi-lattice ordered groups	2015	Adam Rennie David Robertson Aidan Sims
+	Factorisation of equivariant spectral triples in unbounded KK-theory	2015	Iain Forsyth Adam Rennie
+	Generalised time functions and finiteness of the Lorentzian distance	2014	Adam Rennie Ben Whale
+ PDF Chat	Spectral Flow for Nonunital Spectral Triples	2014	Alan L. Carey Victor Gayral Jessica Phillips Adam Rennie Fedor Sukochev
+ PDF Chat	The resolvent cocycle in twisted cyclic cohomology and a local index formula for the Podleś sphere	2014	Adam Rennie Roger Senior
+	Groupoid algebras as Cuntz-Pimsner algebras	2014	Adam Rennie David Robertson Aidan Sims
+	Spectral flow for nonunital spectral triples	2014	Alan L. Carey Victor Gayral Jessica Phillips Adam Rennie Fedor Sukochev
+	Universal measurability and the Hochschild class of the Chern character	2014	Alan L. Carey Adam Rennie Fedor Sukochev D. Zanin
+ PDF Chat	The K-theory of Heegaard quantum lens spaces	2013	Piotr M. Hajac Adam Rennie Bartosz Zieliński
+ PDF Chat	Twisted Cyclic Cohomology and Modular Fredholm Modules	2013	Adam Rennie
+	Dense domains, symmetric operators and spectral triples	2013	Iain Forsyth Bram Mesland Adam Rennie
+ PDF Chat	The Local Index Formula in Noncommutative Geometry Revisited	2013	Alan L. Carey John Phillips Adam Rennie Fedor Sukochev
+ PDF Chat	Semi-Finite Noncommutative Geometry and Some Applications	2013	Alan L. Carey John Phillips Adam Rennie
+	Dense domains, symmetric operators and spectral triples	2013	Iain Forsyth Bram Mesland Adam Rennie
+	Integration on locally compact noncommutative spaces	2012	Alan L. Carey Victor Gayral Adam Rennie Fedor Sukochev
+ PDF Chat	<i>KK</i>-Theory and Spectral Flow in von Neumann Algebras	2012	Jens Kaad Ryszard Nest Adam Rennie
+	Riemannian manifolds in noncommutative geometry	2012	Steven Lord Adam Rennie Joseph C. Várilly
+	A Residue Formula for the Fundamental Hochschild 3-Cocycle for SUq(2)	2012	Ulrich Kraehmer Adam Rennie Roger Senior
+	The resolvent cocycle in twisted cyclic cohomology and a local index formula for the Podles sphere	2011	Adam Rennie Roger Senior
+	The K-theory of Heegaard quantum lens spaces	2011	Piotr M. Hajac Adam Rennie Bartosz Zieliński
+	Spectral triples: examples and index theory	2011	Alan L. Carey John Phillips Adam Rennie
+	A residue formula for the fundamental Hochschild 3-cocycle for SUq(2)	2011	Ulrich Kraehmer Adam Rennie Roger Senior
+	Index theory for locally compact noncommutative geometries	2011	Alan L. Carey Victor Gayral Adam Rennie Fedor Sukochev
+ PDF Chat	Twisted cyclic theory, equivariant KK-theory and KMS states	2011	Alan L. Carey Sergey Neshveyev Ryszard Nest Adam Rennie
+	Type III KMS States on a Class of C*-Algebras Containing O-n and Q(N) and Their Modular Index	2011	Alan L. Carey John Phillips Ian F. Putnam Adam Rennie
+ PDF Chat	Noncommutative Atiyah-Patodi-Singer boundary conditions and index pairings in KK-theory	2010	Alan L. Carey Jessica Phillips Adam Rennie
+	Families of Type {\rm III KMS} States on a Class of $C^*$-Algebras containing $O_n$ and $\mathcal{Q}_\N$	2010	Alan L. Carey Jessica Phillips Ian F. Putnam Adam Rennie
+ PDF Chat	Noncommutative Manifolds from Graph and k-Graph C*-Algebras	2009	David Pask Adam Rennie Aidan Sims
+	Spectral flow invariants and twisted cyclic theory for the Haar state on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>S</mml:mi><mml:msub><mml:mrow><mml:mi>U</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>	2009	Alan L. Carey Adam Rennie Kang Tong
+	Modular Index Invariants of Mumford Curves	2009	Adam Rennie Alan L. Carey Matilde Marcolli
+	Spectral Triples: Examples and Applications Notes for lectures given at the workshop on noncommutative geometry and physics	2009	Adam Rennie
+	Integration on locally compact noncommutative spaces	2009	Alan L. Carey Victor Gayral Adam Rennie Fedor Sukochev
+ PDF Chat	The Chern character of semifinite spectral triples	2008	Alan L. Carey John Phillips Adam Rennie Fedor Sukochev
+ PDF Chat	ORBIFOLDS ARE NOT COMMUTATIVE GEOMETRIES	2008	Adam Rennie Joseph C. Várilly
+	The che rn character of semifinit e spectral triples	2008	Alan L. Carey John Phillips Adam Rennie
+	Twisted cyclic theory and an index theory for the gauge invariant KMS state on Cuntz algebras	2008	Alan L. Carey Jessica Phillips Adam Rennie
+	Twisted cyclic theory, equivariant KK theory and KMS States	2008	Alan L. Carey Sergey Neshveyev Ryszard Nest Adam Rennie
+ PDF Chat	The noncommutative geometry of <i>k</i>-graph <i>C</i>*-algebras	2007	David Pask Adam Rennie Aidan Sims
+ PDF Chat	The Dixmier trace and asymptotics of zeta functions	2007	Alan L. Carey Adam Rennie Александр Андреевич Седаев Fedor Sukochev
+	Semifinite spectral triples associated with graph C*-algebras	2007	Alan L. Carey John Phillips Adam Rennie
+	A noncommutative Atiyah-Patodi-Singer index theorem in KK-theory	2007	Alan L. Carey Jessica Phillips Adam Rennie
+	Orbifolds are not commutative geometries	2007	Adam Rennie Joseph C. Várilly
+	Noncommutative manifolds from graph and $k$-graph $C^*$-algebras	2007	David Pask Adam Rennie Aidan Sims
+	KK-theory and Spectral Flow in von Neumann Algebras	2007	Jens Kaad Ryszard Nest Adam Rennie
+ PDF Chat	AN ANALYTIC APPROACH TO SPECTRAL FLOW IN VON NEUMANN ALGEBRAS	2006	Moulay-Tahar Benameur Alan L. Carey John Phillips Adam Rennie Fedor Sukochev Krzysztof P. Wojciechowski
+	Reconstruction of manifolds in noncommutative geometry	2006	Adam Rennie Joseph C. Várilly
+	The Chern Character of Semifinite Spectral Triples	2006	Alan L. Carey John Phillips Adam Rennie Fedor Sukochev
+	The Dixmier trace and asymptotics of zeta functions	2006	Alan L. Carey Adam Rennie A. A. Sedaev Fedor Sukochev
+	The noncommutative geometry of graph <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math>-algebras I: The index theorem	2005	David Pask Adam Rennie
+ PDF Chat	The local index formula in semifinite von Neumann algebras II: The even case	2005	Alan L. Carey John Phillips Adam Rennie Fedor Sukochev
+	The Noncommutative Geometry of Graph $C^*$-Algebras I: The Index Theorem	2005	David Pask Adam Rennie
+	The Noncommutative Geometry of k-graph C*-Algebras	2005	David Pask Adam Rennie Aidan Sims
+	An Analytic Approach to Spectral Flow in von Neumann Algebras	2005	M-T. Benameur Alan L. Carey Jessica Phillips Adam Rennie Fedor Sukochev Krzysztof P. Wojciechowski
+	NONUNITAL SPECTRAL TRIPLES ASSOCIATED TO DEGENERATE METRICS	2004	Adam Rennie
+ PDF Chat	Summability for Nonunital Spectral Triples	2004	Adam Rennie
+	The Local Index Formula in Semifinite von Neumann Algebras I: Spectral Flow	2004	Alan L. Carey John Phillips Adam Rennie Fedor Sukochev
+	The Local Index Formula in Semifinite von Neumann Algebras II: The Even Case	2004	Alan L. Carey John Phillips Adam Rennie Fedor Sukochev
+ PDF Chat	Smoothness and Locality for Nonunital Spectral Triples	2003	Adam Rennie
+	The Hochschild Class of the Chern Character For Semifinite Spectral Triples	2003	Alan L. Carey Jessica Phillips Adam Rennie Fedor Sukochev
+ PDF Chat	COMMUTATIVE GEOMETRIES ARE SPIN MANIFOLDS	2001	Adam Rennie
+	Poincare Duality and Spin^c Structures for Noncommutative Manifolds	2001	Adam Rennie
+	Commutative Geometries are Spin Manifolds	1999	Adam Rennie

Common Coauthors

Coauthor	Papers Together
Alan L. Carey	34
Fedor Sukochev	18
Aidan Sims	13
Bram Mesland	12
John Phillips	12
Jessica Phillips	8
David Robertson	8
David Pask	6
Iain Forsyth	5
Chris Bourne	5
Victor Gayral	5
Roger Senior	4
Joseph C. Várilly	4
Ryszard Nest	4
Magnus Goffeng	4
Ben Whale	3
Sergey Neshveyev	2
Johannes Kellendonk	2
Krzysztof P. Wojciechowski	2
Serge Richard	2
Koen van den Dungen	2
Piotr M. Hajac	2
Bartosz Zieliński	2
Ulrich Kraehmer	2
Alexander Mundey	2
Francesca Arici	2
Ian F. Putnam	2
Jens Kaad	2
Angus Alexander	2
Ada Masters	1
Vic Austen	1
Matilde Marcolli	1
Walter D. van Suijlekom	1
Steven Lord	1
Daniel Parra	1
Kevin Aguyar Brix	1
Kang Tong	1
Lachlan MacDonald	1
M-T. Benameur	1
Alexandr Usachev	1
Matthias Lesch	1
Thanh D. Nguyen	1
Александр Андреевич Седаев	1
A. A. Sedaev	1
Moulay-Tahar Benameur	1
D. Zanin	1
Dmitriy Zanin	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	THE OPERATOR<i>K</i>-FUNCTOR AND EXTENSIONS OF<i>C</i>*-ALGEBRAS	1981	Gennadi Kasparov	43
+	The Hochschild class of the Chern character for semifinite spectral triples	2004	Alan L. Carey John Phillips A. G. Rennie Fedor Sukochev	30
+	Analytic K-homology	2000	Nigel Higson John Roe	29
+	The noncommutative geometry of graph <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math>-algebras I: The index theorem	2005	David Pask Adam Rennie	29
+ PDF Chat	The Local Index Formula in Noncommutative Geometry	1995	Alain Connes Henri Moscovici	29
+ PDF Chat	Unbounded Fredholm Modules and Spectral Flow	1998	Alan L. Carey John Phillips	28
+	The local index formula in semifinite Von Neumann algebras I: Spectral flow	2005	Alan L. Carey John Phillips Adam Rennie Fedor Sukochev	28
+	Morita Equivalence and Continuous-Trace $C^*$-Algebras	1998	Iain Raeburn Dana P. Williams	25
+ PDF Chat	Smoothness and Locality for Nonunital Spectral Triples	2003	Adam Rennie	25
+	Spectral flow and Dixmier traces	2003	Alan L. Carey John Phillips Fedor Sukochev	23
+ PDF Chat	The local index formula in semifinite von Neumann algebras II: The even case	2005	Alan L. Carey John Phillips Adam Rennie Fedor Sukochev	22
+	Elements of Noncommutative Geometry	2001	José M. Gracia-Bondía Joseph C. Várilly Héctor Figueroa	20
+ PDF Chat	Gravity coupled with matter and the foundation of non-commutative geometry	1996	Alain Connes	19
+ PDF Chat	Spectral Flow in Fredholm Modules, Eta Invariants and the JLO Cocycle	2004	Alan L. Carey John Phillips	19
+	Geometry from the spectral point of view	1995	Alain Connes	18
+ PDF Chat	Twisted cyclic theory, equivariant KK-theory and KMS states	2011	Alan L. Carey Sergey Neshveyev Ryszard Nest Adam Rennie	16
+	An Index Theorem for Toeplitz Operators with Noncommutative Symbol Space	1994	Jessica Phillips Iain Raeburn	16
+	K-Theory for Operator Algebras	1986	Bruce Blackadar	16
+	Fredholm theories in von Neumann algebras. I	1968	M. Breuer	15
+ PDF Chat	Cuntz–Krieger algebras of directed graphs	1998	Alex Kumjian David Pask Iain Raeburn	15
+ PDF Chat	The noncommutative geometry of <i>k</i>-graph <i>C</i>*-algebras	2007	David Pask Adam Rennie Aidan Sims	15
+ PDF Chat	Type II non-commutative geometry. I. Dixmier trace in von Neumann algebras	2004	Moulay-Tahar Benameur Thierry Fack	15
+ PDF Chat	Generalized<i>s</i>-numbers of<i>τ</i>-measurable operators	1986	Thierry Fack Hideki Kosaki	15
+ PDF Chat	Moyal Planes are Spectral Triples	2004	Victor Gayral Jos� M. Gracia-Bond�a Bruno Iochum T. Sch�cker Joseph C. V�rilly	14
+ PDF Chat	Noncommutative Geometry	2010	Alain Connes Joachim Cuntz Marc A. Rieffel	14
+ PDF Chat	The local index formula in noncommutative geometry	1995	Alain Connes Henri Moscovici	14
+	Index theory for locally compact noncommutative geometries	2011	Alan L. Carey Victor Gayral Adam Rennie Fedor Sukochev	13
+ PDF Chat	Summability for Nonunital Spectral Triples	2004	Adam Rennie	13
+ PDF Chat	Self-Adjoint Fredholm Operators And Spectral Flow	1996	John Phillips	12
+	EquivariantKK-theory and the Novikov conjecture	1988	Gennadi Kasparov	12
+ PDF Chat	The extension class and KMS states for Cuntz–Pimsner algebras of some bi-Hilbertian bimodules	2016	Adam Rennie David Robertson Aidan Sims	12
+ PDF Chat	<i>KK</i>-Theory and Spectral Flow in von Neumann Algebras	2012	Jens Kaad Ryszard Nest Adam Rennie	11
+ PDF Chat	NONCOMMUTATIVE GEOMETRY	1995	Charlie Beil	11
+	Elliptic Boundary Problems for Dirac Operators	1993	Bernhelm Booß–Bavnbek Krzysztof P. Wojciechowski	10
+ PDF Chat	Dixmier traces as singular symmetric functionals and applications to measurable operators	2005	Steven Lord Александр Андреевич Седаев Fedor Sukochev	10
+	THE C -ALGEBRAS OF ROW-FINITE GRAPHS	2000	Teresa Bates David Pask Iain Raeburn	10
+	Spectral asymmetry and Riemannian Geometry. I	1975	Michael Atiyah V. K. Patodi I. M. Singer	10
+ PDF Chat	A SHORT PROOF THAT M<sub>n</sub>(A) IS LOCAL IF A IS LOCAL AND FRÉCHET	1992	Larry B. Schweitzer	10
+	Hilbert C*-Modules	1995	E. Christopher Lance	10
+ PDF Chat	Compact metric spaces, Fredholm modules, and hyperfiniteness	1989	Alain Connes	10
+	Strong Morita equivalence, spinors and symplectic spinors	1986	Roger Plymen	10
+	Topological Algebras Selected Topics	1986	Anastasios Mallios	9
+	On Unbounded p-Summable Fredholm Modules	2000	Alan L. Carey Jessica Phillips Fedor Sukochev	9
+	K-Theory for Operator Algebras	1986	Bruce Blackadar	9
+ PDF Chat	AN ANALYTIC APPROACH TO SPECTRAL FLOW IN VON NEUMANN ALGEBRAS	2006	Moulay-Tahar Benameur Alan L. Carey John Phillips Adam Rennie Fedor Sukochev Krzysztof P. Wojciechowski	9
+ PDF Chat	Unbounded bivariant <i>K</i>-theory and correspondences in noncommutative geometry	2012	Bram Mesland	9
+	C-Algebras and Their Automorphism Groups	1979	Gert Kjærgård Pedersen	9
+ PDF Chat	The Chern character of semifinite spectral triples	2008	Alan L. Carey John Phillips Adam Rennie Fedor Sukochev	9
+ PDF Chat	Jones index theory for Hilbert C-bimodules and its equivalence with conjugation theory	2003	Tsuyoshi Kajiwara Claudia Pinzari Yasuo Watatani	9
+	On the K-Theory of Cuntz–Krieger Algebras	1996	David Pask Iain Raeburn	8