Alan L. Carey

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All published works

Action	Title	Year	Authors
+ PDF Chat	The Limiting Absorption Principle for Massless Dirac Operators, Properties of Spectral Shift Functions, and an Application to the Witten Index of Non-Fredholm Operators	2023	Alan L. Carey Fritz Gesztesy Galina Levitina Roger Nichols Fedor Sukochev Dmitriy Zanin
+	On a conjectured property of the Witten index and an application to Levinson's theorem	2023	Alan L. Carey Galina Levitina
+ PDF Chat	The Witten index and the spectral shift function	2022	Alan L. Carey Galina Levitina Denis Potapov Fedor Sukochev
+	Index Theory Beyond the Fredholm Case	2022	Alan L. Carey Galina Levitina
+	Examples	2022	Alan L. Carey Galina Levitina
+	Introduction	2022	Alan L. Carey Galina Levitina
+	The Principal Trace Formula and Its Applications	2022	Alan L. Carey Galina Levitina
+	Spectral Flow	2022	Alan L. Carey Galina Levitina
+	Double Operator Integrals	2022	Alan L. Carey Galina Levitina
+	The Model Operator and Its Approximants	2022	Alan L. Carey Galina Levitina
+	The Spectral Shift Function	2022	Alan L. Carey Galina Levitina
+ PDF Chat	The Fermi gerbe of Weyl semimetals	2021	Alan L. Carey Guo Chuan Thiang
+ PDF Chat	The product formula for regularized Fredholm determinants	2021	Thomas Britz Alan L. Carey Fritz Gesztesy Roger Nichols Fedor Sukochev Dmitriy Zanin
+	On the relationship of spectral flow to the Fredholm index and its extension to non-Fredholm operators	2021	Alan L. Carey Galina Levitina Denis Potapov Fedor Sukochev
+	The limiting absorption principle for massless Dirac operators, properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators	2021	Alan L. Carey Fritz Gesztesy Galina Levitina Roger Nichols Fedor Sukochev Dmitriy Zanin
+	The product formula for regularized Fredholm determinants	2020	Thomas Britz Alan L. Carey Fritz Gesztesy Roger Nichols Fedor Sukochev Dmitriy Zanin
+ PDF Chat	The KO-valued spectral flow for skew-adjoint Fredholm operators	2020	Chris Bourne Alan L. Carey Matthias Lesch Adam Rennie
+	The product formula for regularized Fredholm determinants	2020	Thomas Britz Alan L. Carey Fritz Gesztesy Roger Nichols Fedor Sukochev Dmitriy Zanin
+ PDF Chat	Spectral Flow of Monopole Insertion in Topological Insulators	2019	Alan L. Carey Hermann Schulz‐Baldes
+	Spectral flow for skew-adjoint Fredholm operators	2018	Alan L. Carey John Phillips Hermann Schulz‐Baldes
+ PDF Chat	On the Global Limiting Absorption Principle for Massless Dirac Operators	2018	Alan L. Carey Fritz Gesztesy Jens Kaad Galina Levitina Roger Nichols Denis Potapov Fedor Sukochev
+	The non-unital version of Connes' theorem on the Hochschild class of the Chern character	2018	Alan L. Carey Adam Rennie
+ PDF Chat	On the Witten index in terms of spectral shift functions	2017	Alan L. Carey Fritz Gesztesy Denis Potapov Fedor Sukochev Yuri Tomilov
+	Laughlin arguments in arbitrary dimensions	2017	Alan L. Carey Hermann Schulz‐Baldes
+	Spectral flow of monopole insertion in topological insulators	2017	Alan L. Carey Hermann Schulz‐Baldes
+	Spectral flow of monopole insertion in topological insulators	2017	Alan L. Carey Hermann Schulz‐Baldes
+ PDF Chat	Double operator integral methods applied to continuity of spectral shift functions	2016	Alan L. Carey Fritz Gesztesy Galina Levitina Roger Nichols Denis Potapov Fedor Sukochev
+ PDF Chat	Trace formulas for a class of non-Fredholm operators: A review	2016	Alan L. Carey Fritz Gesztesy Harald Grosse Galina Levitina Denis Potapov Fedor Sukochev Dmitriy Zanin
+ PDF Chat	Universal measurability and the Hochschild class of the Chern character	2016	Alan L. Carey Adam Rennie Fedor Sukochev Dmitriy Zanin
+ PDF Chat	A non-commutative framework for topological insulators	2016	Chris Bourne Alan L. Carey Adam Rennie
+ PDF Chat	The Spectral Shift Function and the Witten Index	2016	Alan L. Carey Fritz Gesztesy Galina Levitina Fedor Sukochev
+	Spectral flow for real skew-adjoint Fredholm operators	2016	Alan L. Carey John Phillips Hermann Schulz‐Baldes
+ PDF Chat	On the index of a non-Fredholm model operator	2016	Alan L. Carey Fritz Gesztesy Galina Levitina Fedor Sukochev
+	On a spectral flow formula for the homological index	2015	Alan L. Carey Harald Grosse Jens Kaad
+	Double operator integral methods applied to continuity of spectral shift functions	2015	Alan L. Carey Fritz Gesztesy Galina Levitina Roger Nichols Denis Potapov Fedor Sukochev
+ PDF Chat	On index theory for non‐Fredholm operators: A (1 + 1)‐dimensional example	2015	Alan L. Carey Fritz Gesztesy Galina Levitina Denis Potapov Fedor Sukochev Dima Zanin
+	On Index Theory for Non-Fredholm Operators: A $(1+1)$-Dimensional Example	2015	Alan L. Carey Fritz Gesztesy Galina Levitina Denis Potapov Fedor Sukochev Dima Zanin
+	On the Index of a Non-Fredholm Model Operator	2015	Alan L. Carey Fritz Gesztesy Galina Levitina Fedor Sukochev
+ PDF Chat	The Bulk-Edge Correspondence for the Quantum Hall Effect in Kasparov Theory	2015	Chris Bourne Alan L. Carey Adam Rennie
+ PDF Chat	Topological invariance of the homological index	2015	Alan L. Carey Jens Kaad
+	On a spectral flow formula for the homological index	2015	Alan L. Carey Harald Grosse Jens Kaad
+	Double operator integral methods applied to continuity of spectral shift functions	2015	Alan L. Carey Fritz Gesztesy Galina Levitina Roger Nichols Denis Potapov Fedor Sukochev
+	On the Index of a Non-Fredholm Model Operator	2015	Alan L. Carey Fritz Gesztesy Galina Levitina Fedor Sukochev
+	The Spectral shift function and the Witten index	2015	Alan L. Carey Fritz Gesztesy Galina Levitina Fedor Sukochev
+	On Index Theory for Non-Fredholm Operators: A $(1+1)$-Dimensional Example	2015	Alan L. Carey Fritz Gesztesy Galina Levitina Denis Potapov Fedor Sukochev Dima Zanin
+	On a spectral flow formula for the homological index	2015	Alan L. Carey Harald Grosse Jens Kaad
+ PDF Chat	Spectral Flow for Nonunital Spectral Triples	2014	Alan L. Carey Victor Gayral Jessica Phillips Adam Rennie Fedor Sukochev
+ PDF Chat	Anomalies of Dirac Type Operators on Euclidean Space	2014	Alan L. Carey Harald Grosse Jens Kaad
+ PDF Chat	A Jost–Pais-Type Reduction of Fredholm Determinants and Some Applications	2014	Alan L. Carey Fritz Gesztesy Denis Potapov Fedor Sukochev Yuri Tomilov
+	Topological invariance of the homological index	2014	Alan L. Carey Jens Kaad
+	On the Witten index in terms of spectral shift functions	2014	Alan L. Carey Fritz Gesztesy Denis Potapov Fedor Sukochev Yuri Tomilov
+	A Jost-Pais-type reduction of Fredholm determinants and some applications	2014	Alan L. Carey Fritz Gesztesy Denis Potapov Fedor Sukochev Yuri Tomilov
+	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
+	Topological invariance of the homological index	2014	Alan L. Carey Jens Kaad
+	Anomalies of Dirac type operators on Euclidean space	2013	Alan L. Carey Harald Grosse Jens Kaad
+	K-cycles for twisted K-homology	2013	Paul Baum Alan L. Carey Bai‐Ling Wang
+ 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
+ PDF Chat	Recent Advances in the Study of the Equivariant Brauer Group	2013	Peter Bouwknegt Alan L. Carey Rishni Ratnam
+	Anomalies of Dirac type operators on Euclidean space	2013	Alan L. Carey Harald Grosse Jens Kaad
+ PDF Chat	Higher spectral flow and an entire bivariant JLO cocycle	2012	Moulay-Tahar Benameur Alan L. Carey
+	Integration on locally compact noncommutative spaces	2012	Alan L. Carey Victor Gayral Adam Rennie Fedor Sukochev
+	Measurable operators and the asymptotics of heat kernels and zeta functions	2012	Alan L. Carey Fedor Sukochev
+	Measurable operators and the asymptotics of heat kernels and zeta functions	2012	Alan L. Carey Fedor Sukochev
+ PDF Chat	Quantum Hall Effect and Noncommutative Geometry	2012	Alan L. Carey Keith Hannabuss
+	Measurable operators and the asymptotics of heat kernels and zeta functions	2012	Alan L. Carey Fedor Sukochev
+	Recent advances in the study of the Equivariant Brauer Group	2011	Peter Bouwknegt Alan L. Carey Rishni Ratnam
+	Higher spectral flow and an entire bivariant JLO cocycle	2011	Moulay-Tahar Benameur Alan L. Carey
+	Noncommutative Geometry and Physics: Renormalisation, Motives, Index Theory	2011	Alan L. Carey
+	Spectral triples: examples and index theory	2011	Alan L. Carey John Phillips Adam Rennie
+ PDF Chat	Spectral triples: examples and index theory	2011	Alan L. Carey J. P. Phillips Adam Rennie
+ PDF Chat	Families of type III KMS states on a class of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>C</mml:mi><mml:mo>⁎</mml:mo></mml:msup></mml:math>-algebras containing <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msub><mml:mi>O</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.gif" overflow="scroll"><mml:msub><mml:…	2011	Alan L. Carey Jessica Phillips Ian F. Putnam A. G. Rennie
+	Index theory for locally compact noncommutative geometries	2011	Alan L. Carey Victor Gayral Adam Rennie Fedor Sukochev
+	A Chern-Weil Isomorphism for the Equivariant Brauer Group	2011	Peter Bouwknegt Alan L. Carey Rishni Ratnam
+ 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
+	Higher spectral flow and an entire bivariant JLO cocycle	2011	Moulay-Tahar Benameur Alan L. Carey
+	Recent advances in the study of the Equivariant Brauer Group	2011	Peter Bouwknegt Alan L. Carey Rishni Ratnam
+	A Dirac Type Operator on the Non-Commutative Disk	2010	Alan L. Carey Sławomir Klimek Krzysztof Wojciechowski
+ 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
+	Riemann-Roch and index formulae in twisted K-theory	2010	Alan L. Carey Bai‐Ling Wang
+	Riemann-Roch and index formulae in twisted 𝐾-theory	2010	Alan L. Carey Bai‐Ling Wang
+	Loop groups and quantum fields	2010	Alan L. Carey Edwin Langmann
+	Motives, quantum field theory, and pseudodifferential operators : Conference on Motives, Quantum Field Theory, and Pseudodifferential Operators, June 2-13, 2008, Boston University, Boston, Massachusetts	2010	Pseudo-Differential Operators Alan L. Carey
+	Twisted cyclic theory and an index theory for the gauge invariant KMS state on the Cuntz algebra <i>O<sub>n</sub></i>	2009	Alan L. Carey Jessica Phillips A. G. Rennie
+	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
+ PDF Chat	Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators	2009	Alan L. Carey Denis Potapov Fedor Sukochev
+ PDF Chat	On the analyticity of the bivariant JLO cocycle	2009	Alan L. Carey Moulay-Tahar Benameur
+ PDF Chat	Operator Integrals, Spectral Shift, and Spectral Flow	2009	Nurulla Azamov Alan L. Carey Peter G. Dodds Fedor Sukochev
+	Differential twisted K-theory and applications	2009	Alan L. Carey Jouko Mickelsson Bai‐Ling Wang
+	Modular Index Invariants of Mumford Curves	2009	Adam Rennie Alan L. Carey Matilde Marcolli
+	Riemann-Roch and index formulae in twisted K-theory	2009	Alan L. Carey Bai‐Ling Wang
+	Dirac operators on noncommutative manifolds with boundary	2009	Alan L. Carey Sławomir Klimek Krzysztof P. Wojciechowski
+	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
+	Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators	2008	Alan L. Carey Denis Potapov Fedor Sukochev
+	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	Fusion of Symmetric D-Branes and Verlinde Rings	2007	Alan L. Carey Bai‐Ling Wang
+ PDF Chat	Thom isomorphism and push-forward map in twisted K-theory	2007	Alan L. Carey Bai‐Ling Wang
+ PDF Chat	The Spectral Shift Function and Spectral Flow	2007	Nurulla Azamov Alan L. Carey Fedor Sukochev
+ 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
+	Differential Twisted K-theory and Applications	2007	Alan L. Carey Jouko Mickelsson Bai‐Ling Wang
+	Operator integrals, spectral shift and spectral flow	2007	Nurulla Azamov Alan L. Carey Peter G. Dodds Fedor Sukochev
+ PDF Chat	Dixmier traces and some applications in non-commutative geometry	2006	Alan L. Carey Fedor Sukochev
+ 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
+	On the relationship of gerbes to the odd families index theorem	2006	Alan L. Carey Bai‐Ling Wang
+	Examples of odd index theorems	2006	Alan L. Carey
+ PDF Chat	Следы Диксмье и некоторые приложения в некоммутативной геометрии	2006	Ален Л. Кери Alan L. Carey Fedor Sukochev Fedor Sukochev
+	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
+ PDF Chat	L<sup>2</sup> TORSION WITHOUT THE DETERMINANT CLASS CONDITION AND EXTENDED L<sup>2</sup> COHOMOLOGY	2005	Maxim Braverman Alan L. Carey Michael Färber Varghese Mathai
+ PDF Chat	Bundle Gerbes for Chern-Simons and Wess-Zumino-Witten Theories	2005	Alan L. Carey Stuart Johnson Michael K. Murray Danny Stevenson Bai‐Ling Wang
+	The local index formula in semifinite Von Neumann algebras I: Spectral flow	2005	Alan L. Carey John Phillips Adam Rennie Fedor Sukochev
+ 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
+	Thom isomorphism and Push-forward map in twisted K-theory	2005	Alan L. Carey Bai‐Ling Wang
+	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
+	The Universal Gerbe and Local Family Index Theory	2004	Alan L. Carey Bai‐Ling Wang
+	The Hochschild class of the Chern character for semifinite spectral triples	2004	Alan L. Carey John Phillips A. G. Rennie Fedor Sukochev
+ PDF Chat	On the Problem of the Amenability of the Gauge Group	2004	Alan L. Carey Hendrik Grundling
+	Holonomy on D-branes	2004	Alan L. Carey Stuart Johnson Michael K. Murray
+ PDF Chat	Spectral Flow in Fredholm Modules, Eta Invariants and the JLO Cocycle	2004	Alan L. Carey John Phillips
+	The Local Index Formula in Semifinite von Neumann Algebras I: Spectral Flow	2004	Alan L. Carey John Phillips Adam Rennie Fedor Sukochev
+	On the relationship of gerbes to the odd families index theorem	2004	Alan L. Carey Bai‐Ling Wang
+	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	Seiberg-Witten-Floer Homology and Gluing Formulae	2003	Alan L. Carey Bai Ling Wang
+ PDF Chat	THE GEOMETRIC TRIANGLE FOR 3-DIMENSIONAL SEIBERG–WITTEN MONOPOLES	2003	Alan L. Carey Matilde Marcolli B. L. WANG
+	Spectral flow and Dixmier traces	2003	Alan L. Carey John Phillips Fedor Sukochev
+	Spectral flow in Fredholm modules, eta invariants and the JLO cocycle	2003	Alan L. Carey John Phillips
+	The Hochschild Class of the Chern Character For Semifinite Spectral Triples	2003	Alan L. Carey Jessica Phillips Adam Rennie Fedor Sukochev
+ PDF Chat	Twisted K-Theory and K-Theory of Bundle Gerbes	2002	Peter Bouwknegt Alan L. Carey Varghese Mathai Michael K. Murray Danny Stevenson
+	Holonomy on D-Branes	2002	Alan L. Carey Stuart Johnson Michael K. Murray
+ PDF Chat	Loop Groups and Quantum Fields	2002	Alan L. Carey Edwin Langmann
+	Seiberg-Witten-Floer Homology and Gluing Formulae	2002	Alan L. Carey Bai‐Ling Wang
+	Spectral flow and Dixmier traces	2002	Alan L. Carey John Phillips Fedor Sukochev
+	The universal gerbe, Dixmier-Douady class, and gauge theory	2002	Alan L. Carey Jouko Mickelsson
+	Holonomy on D-Branes	2002	Alan L. Carey Stuart Johnson Michael K. Murray
+ PDF Chat	Hilbert C*-systems for actions of the circle group	2001	Hellmut Baumgaertel Alan L. Carey
+ PDF Chat	Quantum Group Actions on the Cuntz Algebra	2000	Alan L. Carey A. M. Paolucci R. B. Zhang
+ PDF Chat	Correspondences, von Neumann Algebras and Holomorphic <i>L</i><sup>2</sup> Torsion	2000	Alan L. Carey M. Farber Varghese Mathai
+	On Unbounded p-Summable Fredholm Modules	2000	Alan L. Carey Jessica Phillips Fedor Sukochev
+ PDF Chat	BUNDLE GERBES APPLIED TO QUANTUM FIELD THEORY	2000	Alan L. Carey Jouko Mickelsson Michael K. Murray
+	Quantum Hall Effect and Noncommutative Geometry	2000	Alan L. Carey Keith Hannabuss Varghese Mathai
+	A gerbe obstruction to quantization of fermions on odd dimensional manifolds with boundary	2000	Alan L. Carey Jouko Mickelsson
+	Notes on Seiberg-Witten-Floer theory	2000	Alan L. Carey Bai‐Ling Wang
+	Exact triangles in Seiberg-Witten Floer theory. Part 1. The Geometric triangle	1999	Alan L. Carey Matilde Marcolli Bai‐Ling Wang
+ PDF Chat	Loop Groups, Anyons and the Calogero-Sutherland Model	1999	Alan L. Carey Edwin Langmann
+ PDF Chat	On analytic torsion over C*-algebras	1999	Alan L. Carey Varghese Mathai Alexander Mishchenko
+	None	1999	Alan L. Carey K. Hannabus Varghese Mathai
+	Spectral flow in Breuer-Fredholm modules	1999	Alan L. Carey John Phillips
+	On unbounded p-summable Fredholm modules	1999	Alan L. Carey John Phillips Fedor Sukochev
+	The geometric triangle for 3-dimensional Seiberg-Witten monopoles	1999	Alan L. Carey Matilde Marcolli Bai‐Ling Wang
+ PDF Chat	Unbounded Fredholm Modules and Spectral Flow	1998	Alan L. Carey John Phillips
+	The spherical phylon group and invariants of the Laplace approximation	1998	Alan L. Carey Michael G. Eastwood Peter E. Jupp Michael K. Murray
+	Von Neumann spectra near the spectral gap	1998	Alan L. Carey Thierry Coulhon Varghese Mathai John Phillips
+ PDF Chat	Principal Bundles and the Dixmier Douady Class	1998	Alan L. Carey Diarmuid Crowley Michael K. Murray
+ PDF Chat	Quantum Hall Effect on the Hyperbolic Plane	1998	Alan L. Carey Keith Hannabuss Varghese Mathai Patrick J. McCann
+	Quantum Hall Effect on the Hyperbolic Plane in the presence of disorder	1998	Alan L. Carey Keith Hannabuss Varghese Mathai
+	Geometric analysis and Lie theory in mathematics and physics	1998	Alan L. Carey Michael K. Murray
+	Quantum Group Duality and the Cuntz Algebra	1997	Alan L. Carey A. M. Paolucci R. B. Zhang
+ PDF Chat	Determinant lines, von Neumann algebras and L2 torsion.	1997	Alan L. Carey M. Farber Varghese Mathai
+ PDF Chat	Index Theory, Gerbes, and Hamiltonian Quantization	1997	Alan L. Carey Michael K. Murray Jouko Mickelsson
+	Quantum Group Duality and the Cuntz Algebra	1997	Alan L. Carey A. M. Paolucci R. B. Zhang
+ PDF Chat	Higher bundle gerbes and cohomology classes in gauge theories	1997	Alan L. Carey Michael K. Murray B.L. Wang
+	Correspondences, von Neumann algebras and holomorphic L^2 torsion	1997	Alan L. Carey Michael Färber Varghese Mathai
+	Topological Quantum Field Theory and Seiberg-Witten Monopoles	1997	Alan L. Carey B. L. Wang R. B. Zhang J. McCarthy
+	Algebraic Groups and Lie Groups (A Volume of Papers in Honour of the Late R. W. Richardson)	1997	G Lehrer Alan L. Carey
+ PDF Chat	Quantum groups at odd roots of unity and topological invariants of 3-manifolds	1996	R. B. Zhang Alan L. Carey
+	The spherical phylon group and invariants of the Laplace transform.	1996	Alan L. Carey Michael G. Eastwood Peter E. Jupp Michael K. Murray
+	Determinant lines, von Neumann algebras and $L^2$ torsion	1996	Alan L. Carey M. Farber Varghese Mathai
+	Faddeev's anomaly and bundle gerbes	1996	Alan L. Carey Michael K. Murray
+ PDF Chat	Infinite dimensional groups and Riemann surface field theories	1996	Alan L. Carey Keith Hannabuss
+	The spherical phylon group and invariants of the Laplace transform	1996	Alan L. Carey Michael G. Eastwood Peter E. Jupp Michael K. Murray
+	Von Neumann spectra near the spectral gap	1996	Alan L. Carey Thierry Coulhon Varghese Mathai John Phillips
+	Realizing 3-cocycles as obstructions	1995	Alan L. Carey Hendrik Grundling C. A. Hurst Edwin Langmann
+ PDF Chat	Group actions on C*-algebras, 3-cocycles and quantum field theory	1995	Alan L. Carey Hendrik Grundling Iain Raeburn Colin E. Sutherland
+ PDF Chat	General Existence Theorems for Orthonormal Wavelets, an Abstract Approach	1995	Larry Baggett Alan L. Carey William Moran Peter Ohring
+	A Kirillov theory for divisible nilpotent groups	1995	Alan L. Carey William Moran C. E. M. Pearce
+	Discrete space-time	1995	Alan L. Carey Warren Ellis Peter Pearce Andrew C. Thomas
+	Review of Arai, A., On self-adjointness of Dirac operators in boson-fermion Fock spaces	1995	Alan L. Carey
+	Mathematical remarks on the cohomology of gauge groups and anomalies	1994	Alan L. Carey Michael K. Murray
+ PDF Chat	The Landau-Lifshitz equation, elliptic curves and the ward transform	1993	Alan L. Carey Keith Hannabuss Lionel Mason M. A. Singer
+	HILBERT SPACE REPRESENTATIONS OF THE GAUGE GROUPS OF SOME TWO DIMENSIONAL FIELD THEORIES	1993	Alan L. Carey J. D. Wright
+ PDF Chat	The Landau-Lifshitz equation, elliptic curves and the Ward transform	1993	Alan L. Carey Keith Hannabuss Lionel Mason Mervyn Singer
+	L2-torsion invariants	1992	Alan L. Carey Varghese Mathai
+	Finite-dimensional algebraic representations of the infinite phylon group	1992	Ole E. Barndorff‐Nielsen P. Bl�sild Alan L. Carey Peter E. Jupp Miguel Ángel Merma Mora Michael K. Murray
+ PDF Chat	String structures and the path fibration of a group	1991	Alan L. Carey Michael K. Murray
+	Algebras almost commuting with Clifford algebras in a II∞ factor	1991	Alan L. Carey John Phillips
+ PDF Chat	Riemann surfaces, Clifford algebras and infinite dimensional groups	1991	Alan L. Carey Michael G. Eastwood Keith Hannabuss
+	Non-monomial multiplier representations of abelian groups	1991	Lawrence W. Baggett Alan L. Carey William Moran Arlan Ramsay
+	The Pompeiu problem for groups	1991	Alan L. Carey Eberhard Kaniuth William Moran
+	Higher-order tensors, strings and new tensors	1990	Alan L. Carey Michael K. Murray
+ PDF Chat	Riemann surfaces, Clifford algebras and infinite dimensional groups	1990	Alan L. Carey Michael G. Eastwood Keith Hannabuss
+	SIMPLE EXAMPLES OF CONFORMAL FIELD THEORIES	1990	Alan L. Carey Keith Hannabuss
+	Algebras almost commuting with Clifford algebras	1990	Alan L. Carey David Evans
+ PDF Chat	Degenerate forms of Maxwell's equations	1990	Alan L. Carey Kenneth Walter McNamara
+	𝐿²-acyclicity and 𝐿²-torsion invariants	1990	Varghese Mathai Alan L. Carey
+	Gauge anomalies on <i>S</i>2 and group extensions	1989	Alan L. Carey John Palmer
+	Infinite complex spin groups	1989	Alan L. Carey John Palmer
+	Spin groups, infinite dimensional Clifford algebras and applications	1989	Alan L. Carey
+	$L^2$ Reidemeister Franz Torsion	1989	Alan L. Carey Varghese Mathai
+	On fermion gauge groups, current algebras and Kac-Moody algebras	1987	Alan L. Carey S. N. M. Ruijsenaars
+	Non-Monomial representations of abelian groups with multipliers	1987	Lawrence W. Baggett Alan L. Carey William Moran Arlan Ramsay
+	On an automorphic action of U(n, 1) on On	1987	Alan L. Carey David Evans
+	Representations of infinite dimensional groups and applications	1987	Alan L. Carey
+	Holonomy and the Wess-Zumino term	1986	Alan L. Carey Michael K. Murray
+ PDF Chat	Existence and regularity results for Maxwell's equations in the quasi-static limit	1986	Alan L. Carey Dónal O’Brien
+ PDF Chat	Cocycles and representations of groups of CAR type	1986	Alan L. Carey William Moran
+ PDF Chat	Nilpotent groups with $T_{1}$ primitive ideal spaces	1986	Alan L. Carey William Moran
+ PDF Chat	A note on the boson-fermion correspondence and infinite dimensional groups	1985	Alan L. Carey C. A. Hurst
+ PDF Chat	Some groups with T1 primitive ideal spaces	1985	Alan L. Carey William Moran
+	Group actions on Cuntz algebras	1985	Alan L. Carey David Evans
+ PDF Chat	Some Infinite Dimensional Groups and Bundles	1984	Alan L. Carey
+	Characters of nilpotent groups	1984	Alan L. Carey William Moran
+	Projective repesentations of the Hilbert Lie group U (H)2 via quasifree statres on the CAR algebra	1984	Alan L. Carey
+	The group of invertible elements of certain Banach algebras of operators on Hilbert space	1984	Alan L. Carey
+	On O_{n+1}	1984	Huzihiro Araki Alan L. Carey David Evans
+ PDF Chat	On the Group Theoretic Approach to the Canonical Anticommutation Relations	1983	Alan L. Carey William Moran
+	Fermion currents in 1+1 dimensions	1983	Alan L. Carey C. A. Hurst Dónal O’Brien
+	Non-Monomial Unitary Representations of Nilpotent Groups I: The Abelian Case	1983	Alan L. Carey William Moran
+	Automorphisms of the infinite dimensional clifford algebra and the atiyah-singer mod 2 index	1983	Alan L. Carey Dónal O’Brien
+	Infinite dimensional groups and quantum field theory	1983	Alan L. Carey
+	On the Group Theoretic Approach to the Canonical Anticommutatlon	1983	Alan L. Carey William Moran
+	Automorphisms of the canonical anticommutation relations and index theory	1982	Alan L. Carey C. A. Hurst Dónal O’Brien
+	Absence of vacuum polarisation in fock space	1982	Alan L. Carey Dónal O’Brien
+	Applications of an algebraic quantization of the electromagnetic field	1979	Alan L. Carey C. A. Hurst
+	Algebraic structure of a linear gauge theory	1978	Alan L. Carey C. A. Hurst B W Keck
+	Group representations in reproducing kernel Hilbert spaces	1978	Alan L. Carey
+	Twistors and geometric quantisation theory	1978	Alan L. Carey Keith Hannabuss
+	A note on the Fermi quantisation of Landau gauge	1978	Alan L. Carey C. A. Hurst
+	The Fermi method of quantizing the electromagnetic field as a model for quantum field theory	1977	Alan L. Carey C. A. Hurst
+	A <i>C</i>*-algebra formulation of the quantization of the electromagnetic field	1977	Alan L. Carey Janice Gaffney C. A. Hurst
+ PDF Chat	Induced representations, reproducing kernels and the conformal group	1977	Alan L. Carey
+	On characteristic identities for Lie algebras	1977	Dónal O’Brien A. Cant Alan L. Carey
+ PDF Chat	Square-integrable representations of non-unimodular groups	1976	Alan L. Carey

Common Coauthors

Coauthor	Papers Together
Fedor Sukochev	58
Adam Rennie	34
Galina Levitina	26
John Phillips	26
Fritz Gesztesy	22
Michael K. Murray	19
Bai‐Ling Wang	17
Varghese Mathai	16
Denis Potapov	16
William Moran	12
Jessica Phillips	11
Keith Hannabuss	11
Jens Kaad	10
C. A. Hurst	9
Dmitriy Zanin	7
Hermann Schulz‐Baldes	6
Roger Nichols	6
Dónal O’Brien	6
Jouko Mickelsson	6
Michael G. Eastwood	5
Peter Bouwknegt	5
Harald Grosse	5
Moulay-Tahar Benameur	5
Adam Rennie	5
Victor Gayral	5
Rishni Ratnam	4
David Evans	4
Yuri Tomilov	4
Peter E. Jupp	4
Stuart Johnson	4
Edwin Langmann	4
Matilde Marcolli	4
Roger Nichols	3
Nurulla Azamov	3
A. M. Paolucci	3
Krzysztof P. Wojciechowski	3
R. B. Zhang	3
Ian F. Putnam	3
M. Farber	3
Dima Zanin	3
Chris Bourne	3
Hendrik Grundling	3
Thomas Britz	3
Michael Färber	2
Arlan Ramsay	2
Sergey Neshveyev	2
Danny Stevenson	2
Peter G. Dodds	2
Thierry Coulhon	2
Sławomir Klimek	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Unbounded Fredholm Modules and Spectral Flow	1998	Alan L. Carey John Phillips	38
+	Spectral asymmetry and Riemannian Geometry. I	1975	Michael Atiyah V. K. Patodi I. M. Singer	34
+ PDF Chat	The Local Index Formula in Noncommutative Geometry	1995	Alain Connes Henri Moscovici	31
+	The odd chern character in cyclic homology and spectral flow	1993	Ezra Getzler	26
+ PDF Chat	Spectral Flow in Fredholm Modules, Eta Invariants and the JLO Cocycle	2004	Alan L. Carey John Phillips	26
+	Spectral flow and Dixmier traces	2003	Alan L. Carey John Phillips Fedor Sukochev	25
+	Fredholm theories in von Neumann algebras. I	1968	M. Breuer	25
+	THE OPERATOR<i>K</i>-FUNCTOR AND EXTENSIONS OF<i>C</i>*-ALGEBRAS	1981	Gennadi Kasparov	25
+	The local index formula in semifinite Von Neumann algebras I: Spectral flow	2005	Alan L. Carey John Phillips Adam Rennie Fedor Sukochev	23
+ PDF Chat	Self-Adjoint Fredholm Operators And Spectral Flow	1996	John Phillips	23
+ PDF Chat	The index formula and the spectral shift function for relatively trace class perturbations	2011	Fritz Gesztesy Yuri Latushkin Konstantin A. Makarov Fedor Sukochev Yuri Tomilov	22
+	Trace Ideals and Their Applications	2010	Barry Simon	21
+	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	21
+ PDF Chat	Non-commutative differential geometry	1985	Alain Connes	20
+ PDF Chat	Index theory for skew-adjoint fredholm operators	1969	Michael Atiyah Isadore Manuel Singer	20
+ PDF Chat	Generalized<i>s</i>-numbers of<i>τ</i>-measurable operators	1986	Thierry Fack Hideki Kosaki	20
+	The Hochschild class of the Chern character for semifinite spectral triples	2004	Alan L. Carey John Phillips A. G. Rennie Fedor Sukochev	20
+	Topological invariance of the Witten index	1988	Fritz Gesztesy Barry Simon	19
+ 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	18
+	An Index Theorem for Toeplitz Operators with Noncommutative Symbol Space	1994	Jessica Phillips Iain Raeburn	18
+ PDF Chat	The local index formula in noncommutative geometry	1995	Alain Connes Henri Moscovici	17
+	Spectral Asymmetry and Riemannian Geometry	1973	Michael Atiyah V. K. Patodi I. M. Singer	17
+	On Unbounded p-Summable Fredholm Modules	2000	Alan L. Carey Jessica Phillips Fedor Sukochev	17
+	Elliptic Boundary Problems for Dirac Operators	1993	Bernhelm Booß–Bavnbek Krzysztof P. Wojciechowski	16
+	Loop Spaces, Characteristic Classes and Geometric Quantization	1993	Jean-Luc Brylinski	16
+ 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	16
+ PDF Chat	NONCOMMUTATIVE GEOMETRY	1995	Charlie Beil	16
+	Spectral flow, eta invariants, and von Neumann algebras	1992	Varghese Mathai	16
+	Spectral asymmetry and Riemannian geometry. III	1976	Michael Atiyah V. K. Patodi I. M. Singer	15
+	Bundle gerbes	1994	Michael K. Murray	15
+	Elements of Noncommutative Geometry	2001	José M. Gracia-Bondía Joseph C. Várilly Héctor Figueroa	15
+ PDF Chat	Type II non-commutative geometry. I. Dixmier trace in von Neumann algebras	2004	Moulay-Tahar Benameur Thierry Fack	15
+	Geometry from the spectral point of view	1995	Alain Connes	14
+	Introduction to the theory of linear nonselfadjoint operators	1969	M. Г. Крейн Israel Gohberg	14
+	Operator Algebras and Quantum Statistical Mechanics	1997	Ola Bratteli Derek W. Robinson	14
+	Automorphisms of the canonical anticommutation relations and index theory	1982	Alan L. Carey C. A. Hurst Dónal O’Brien	14
+ PDF Chat	Dixmier traces as singular symmetric functionals and applications to measurable operators	2005	Steven Lord Александр Андреевич Седаев Fedor Sukochev	14
+ PDF Chat	Axial anomalies and index theorems on open spaces	1978	Constantine J. Callias	13
+	Analytic K-homology	2000	Nigel Higson John Roe	13
+	On the Witten index in terms of spectral shift functions	2014	Alan L. Carey Fritz Gesztesy Denis Potapov Fedor Sukochev Yuri Tomilov	13
+ PDF Chat	Smoothness and Locality for Nonunital Spectral Triples	2003	Adam Rennie	13
+ PDF Chat	Anomalies of Dirac Type Operators on Euclidean Space	2014	Alan L. Carey Harald Grosse Jens Kaad	12
+	C-Algebras and Their Automorphism Groups	1979	Gert Kjærgård Pedersen	12
+	The Spectral Flow and the Maslov Index	1995	Joel W. Robbin Dietmar Salamon	12
+ PDF Chat	Noncommutative Geometry	2010	Alain Connes Joachim Cuntz Marc A. Rieffel	11
+ PDF Chat	On the Witten index in terms of spectral shift functions	2017	Alan L. Carey Fritz Gesztesy Denis Potapov Fedor Sukochev Yuri Tomilov	11
+	C*-algebras of operators on a half-space II: Index theory	1971	L. A. Coburn Ronald G. Douglas David G. Schaeffer Isadore Manuel Singer	11
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	11
+	The spectral flow, the Fredholm index, and the spectral shift function	2008	Alexander Pushnitski	11
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon	11