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Author ID: carey.alan-l Recent zbMATH articles by "Carey, Alan L."
Published as: Carey, A. L.; Carey, Alan L.; Carey, Alan; Carey, A.; Carey, A. L
External Links: MGP · Wikidata
all top 5

Co-Authors

12 single-authored
27 Sukochev, Fedor Anatol’evich
23 Rennie, Adam
22 Phillips, John
18 Murray, Michael K.
12 Mathai, Varghese
12 Wang, Bailing
11 Hannabuss, Keith C.
11 Moran, William
9 Gesztesy, Fritz
7 Mickelsson, Jouko
7 Potapov, Denis
6 Evans, David E.
6 Hurst, Charles Angas
6 Levitina, Galina Borisovna
6 O’Brien, D. M.
4 Grosse, Harald
4 Kaad, Jens
4 Zanin, Dmitriy V.
3 Baggett, Lawrence Wasson
3 Benameur, Moulay-Tahar
3 Bouwknegt, Peter G.
3 Farber, Michael S.
3 Gayral, Victor
3 Grundling, Hendrik B. G. S.
3 Jupp, Peter E.
3 Langmann, Edwin
3 Nichols, Roger
3 Zhang, Ruibin
2 Azamov, Nurulla A.
2 Bourne, Chris
2 Eastwood, Michael G.
2 Johnson, Stuart
2 Marcolli, Matilde
2 McCann, Paul J.
2 Palmer, John N.
2 Putnam, Ian F.
2 Ramsay, Arlan B.
2 Rosenberg, Steven
2 Schulz-Baldes, Hermann
2 Stevenson, Danny
2 Tomilov, Yuri
2 Wojciechowski, Krzysztof P.
1 Araki, Huzihiro
1 Barndorff-Nielsen, Ole Eiler
1 Batty, Charles J. K.
1 Baum, Paul Frank
1 Baumgärtel, Hellmut
1 Blæsild, Preben
1 Braverman, Maxim
1 Britz, Thomas
1 Cant, A.
1 Čap, Andreas
1 Carrell, James B.
1 Coulhon, Thierry
1 Cowling, Michael G.
1 Crowley, Diarmuid John
1 Dodds, Peter G.
1 Ellis, William J.
1 Ellwood, David Alexandre
1 Gaffney, J. M.
1 Gover, Ashwin Rod
1 Graham, C. Robin
1 Hume, L. R.
1 Kaniuth, Eberhard
1 Keck, B. W.
1 Klimek, Slawomir
1 Lehrer, Gustav Isaac
1 Lohé, M. A.
1 Mason, Lionel J.
1 Mcnamara, Kristin
1 Mishchenko, Aleksandr Sergeevich
1 Neshveyev, Sergey V.
1 Nest, Ryszard
1 Ohring, Peter
1 Paycha, Sylvie
1 Pearce, Charles Edward Miller
1 Pearce, Paul A.
1 Raeburn, Iain
1 Ratnam, Rishni
1 Robinson, Derek W.
1 Ruijsenaars, Simon N. M.
1 Sedaev, Aleksandr
1 Singer, Michael A.
1 Slovák, Jan
1 Springer, Tonny Albert
1 Sutherland, Colin E.
1 Taylor, Peter Gerrard
1 Thiang, Guo Chuan
1 Thomas, Anthony W.
all top 5

Serials

19 Communications in Mathematical Physics
13 Journal of Functional Analysis
12 Letters in Mathematical Physics
6 Advances in Mathematics
5 Journal of Geometry and Physics
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Reports on Mathematical Physics
4 Reviews in Mathematical Physics
4 Canadian Journal of Mathematics
4 Journal für die Reine und Angewandte Mathematik
4 Journal of \(K\)-Theory
3 Journal of Mathematical Physics
3 Acta Applicandae Mathematicae
3 Journal of Spectral Theory
2 Journal of the Australian Mathematical Society, Series B
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 \(K\)-Theory
2 Journal of the Australian Mathematical Society. Series A
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Communications in Contemporary Mathematics
2 Annales Henri Poincaré
2 Australian Mathematical Society Lecture Series
1 International Journal of Modern Physics B
1 Bulletin of the Australian Mathematical Society
1 Journal d’Analyse Mathématique
1 Journal of Statistical Physics
1 Revue Roumaine de Mathématiques Pures et Appliquées
1 Russian Mathematical Surveys
1 Studia Mathematica
1 Hadronic Journal
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
1 The Australian Mathematical Society Gazette
1 Gazette des Mathématiciens
1 Integral Equations and Operator Theory
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Topology
1 Journal of Operator Theory
1 Differential Geometry and its Applications
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Bulletin des Sciences Mathématiques
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Acta Mathematica Sinica. English Series
1 Journal of Geometry and Symmetry in Physics
1 Clay Mathematics Proceedings
1 Journal of Noncommutative Geometry
1 Operators and Matrices
1 Electronic Research Announcements in Mathematical Sciences
1 Proceedings of the American Mathematical Society. Series B
1 ESI Lectures in Mathematics and Physics

Publications by Year

Citations contained in zbMATH Open

130 Publications have been cited 1,297 times in 724 Documents Cited by Year
Twisted \(K\)-theory and \(K\)-theory of bundle gerbes. Zbl 1036.19005
Bouwknegt, Peter; Carey, Alan L.; Mathai, Varghese; Murray, Michael K.; Stevenson, Danny
87
2002
Spectral flow and Dixmier traces. Zbl 1015.19003
Carey, Alan; Phillips, John; Sukochev, Fyodor
50
2003
On fermionic gauge groups, current algebras and Kac-Moody algebras. Zbl 0644.22012
Carey, A. L.; Ruijsenaars, S. N. M.
46
1987
Unbounded Fredholm modules and spectral flow. Zbl 0915.46063
Carey, Alan; Phillips, John
45
1998
Operator integrals, spectral shift, and spectral flow. Zbl 1163.47008
Azamov, N. A.; Carey, A. L.; Dodds, P. G.; Sukochev, F. A.
42
2009
Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories. Zbl 1088.58018
Carey, Alan L.; Johnson, Stuart; Murray, Michael K.; Stevenson, Danny; Wang, Bai-Ling
37
2005
The local index formula in semifinite von Neumann algebras. I: Spectral flow. Zbl 1118.46060
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.
36
2006
The Dixmier trace and asymptotics of zeta functions. Zbl 1128.46022
Carey, Alan L.; Rennie, Adam; Sedaev, Aleksandr; Sukochev, Fyodor
35
2007
Index theory for locally compact noncommutative geometries. Zbl 1314.46081
Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A.
30
2014
The Hochschild class of the Chern character for semifinite spectral triples. Zbl 1058.19002
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.
28
2004
Dixmier traces and some applications in non-commutative geometry. Zbl 1151.46053
Carey, A. L.; Sukochev, F. A.
28
2006
Index theory, gerbes, and Hamiltonian quantization. Zbl 0887.58049
Carey, Alan; Mickelsson, Jouko; Murray, Michael
26
1997
Spectral flow in Fredholm modules, eta invariants and the JLO cocycle. Zbl 1051.19004
Carey, Alan; Phillips, John
26
2004
The local index formula in semifinite von Neumann algebras. II: the even case. Zbl 1101.46045
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.
26
2006
A non-commutative framework for topological insulators. Zbl 1364.81269
Bourne, C.; Carey, A. L.; Rennie, A.
24
2016
Quantum Hall effect on the hyperbolic plane. Zbl 0916.46057
Carey, A. L.; Hannabuss, K. C.; Mathai, V.; McCann, P.
22
1998
General existence theorems for orthonormal wavelets, an abstract approach. Zbl 0849.42019
Baggett, Larry; Carey, Alan; Moran, William; Ohring, Peter
22
1995
Square-integrable representations of non-unimodular groups. Zbl 0327.22008
Carey, A. L.
22
1976
Twisted cyclic theory, equivariant \(KK\)-theory and KMS states. Zbl 1218.19002
Carey, Alan L.; Neshveyev, Sergey; Nest, Ryszard; Rennie, Adam
22
2011
Holonomy on \(D\)-branes. Zbl 1092.81055
Carey, Alan L.; Johnson, Stuart; Murray, Michael K.
21
2004
Automorphisms of the canonical anticommutation relations and index theory. Zbl 0498.46051
Carey, A. L.; Hurst, C. A.; O’Brien, D. M.
21
1982
Bundle gerbes applied to quantum field theory. Zbl 0961.81127
Carey, Alan L.; Mickelsson, Jouko; Murray, Michael K.
21
2000
An analytic approach to spectral flow in von Neumann algebras. Zbl 1119.58016
Benameur, Moulay-Tahar; Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.; Wojciechowski, Krzysztof P.
20
2006
The universal Gerbe, Dixmier-Douady class, and gauge theory. Zbl 1003.58022
Carey, Alan L.; Mickelsson, Jouko
17
2002
\(L^ 2\)-torsion invariants. Zbl 0771.57009
Carey, Alan L.; Mathai, Varghese
17
1992
Integration on locally compact noncommutative spaces. Zbl 1251.46036
Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A.
17
2012
The bulk-edge correspondence for the quantum Hall effect in Kasparov theory. Zbl 1325.81199
Bourne, Chris; Carey, Alan L.; Rennie, Adam
16
2015
Thom isomorphism and push-forward map in twisted K-theory. Zbl 1204.55006
Carey, Alan L.; Wang, Bai-Ling
15
2008
The spectral shift function and spectral flow. Zbl 1129.58008
Azamov, N. A.; Carey, A. L.; Sukochev, F. A.
14
2007
Group representations in reproducing kernel Hilbert spaces. Zbl 0418.22004
Carey, A. L.
13
1978
Some homogeneous spaces and representations of the Hilbert Lie group \({\mathcal U}(H)_ 2\). Zbl 0581.22019
Carey, A. L.
12
1985
On unbounded \(p\)-summable Fredholm modules. Zbl 0960.46039
Carey, A. L.; Phillips, J.; Sukochev, F. A.
12
2000
Differential twisted K-theory and applications. Zbl 1173.19003
Carey, Alan L.; Mickelsson, Jouko; Wang, Bai-Ling
11
2009
A note on the Boson-Fermion correspondence and infinite dimensional groups. Zbl 0577.46067
Carey, A. L.; Hurst, C. A.
11
1985
Automorphisms of the infinite dimensional Clifford algebra and the Atiyah-Singer mod 2 index. Zbl 0532.47011
Carey, A. L.; O’Brien, D. M.
11
1983
String structures and the path fibration of a group. Zbl 0734.55006
Carey, A. L.; Murray, M. K.
10
1991
Twisted cyclic theory and an index theory for the gauge invariant KMS state on the Cuntz algebra \(O_{n}\). Zbl 1220.19004
Carey, A. L.; Phillips, J.; Rennie, A.
9
2010
Determinant lines, von Neumann algebras and \(L^ 2\) torsion. Zbl 0872.46031
Carey, A.; Farber, M.; Mathai, V.
9
1997
Infinite complex spin groups. Zbl 0714.22015
Carey, Alan; Palmer, John
9
1989
Characters of nilpotent groups. Zbl 0549.43004
Carey, A. L.; Moran, W.
9
1984
The Chern character of semifinite spectral triples. Zbl 1157.46045
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.
9
2008
\(L^2\)-torsion without the determinant class condition and extended \(L^2\) cohomology. Zbl 1079.55015
Braverman, Maxim; Carey, Alan; Farber, Michael; Mathai, Varghese
8
2005
Faddeev’s anomaly and bundle gerbes. Zbl 0848.22024
Carey, A. L.; Murray, M. K.
8
1996
On \({\mathcal O}_{n+1}\). Zbl 0562.46033
Araki, H.; Carey, A. L.; Evans, D. E.
8
1984
Temperature states on loop groups, theta functions and the Luttinger model. Zbl 0633.46068
Carey, A. L.; Hannabuss, K. C.
8
1987
Noncommutative Atiyah-Patodi-Singer boundary conditions and index pairings in \(KK\)-theory. Zbl 1207.46062
Carey, A. L.; Phillips, J.; Rennie, A.
8
2010
Spectral flow for skew-adjoint Fredholm operators. Zbl 1472.58017
Carey, Alan L.; Phillips, John; Schulz-Baldes, Hermann
8
2019
Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators. Zbl 1217.58016
Carey, Alan; Potapov, Denis; Sukochev, Fedor
8
2009
On the Witten index in terms of spectral shift functions. Zbl 1481.47012
Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri
8
2017
On the global limiting absorption principle for massless Dirac operators. Zbl 1394.81115
Carey, Alan; Gesztesy, Fritz; Kaad, Jens; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor
7
2018
Higher bundle gerbes and cohomology classes in gauge theories. Zbl 0884.55004
Carey, A. L.; Murray, M. K.; Wang, B. L.
7
1997
Spectral triples: examples and index theory. Zbl 1252.58004
Carey, Alan L.; Phillips, John; Rennie, Adam
7
2011
Measurable operators and the asymptotics of heat kernels and zeta functions. Zbl 1270.46059
Carey, Alan; Sukochev, Fedor
7
2012
Induced representations, reproducing kernels and the conformal group. Zbl 0339.43007
Carey, A. L.
7
1977
Fusion of symmetric D-branes and Verlinde rings. Zbl 1161.53069
Carey, Alan L.; Wang, Bai-Ling
7
2008
Absence of vacuum polarisation in Fock space. Zbl 0515.46074
Carey, A. L.; O’Brien, D. M.
7
1982
A gerbe obstruction to quantization of fermions on odd-dimensional manifolds with boundary. Zbl 1038.58027
Carey, Alan; Mickelsson, Jouko
7
2000
Spectral flow invariants and twisted cyclic theory for the Haar state on \(SU_q(2)\). Zbl 1175.46064
Carey, A. L.; Rennie, A.; Tong, K.
7
2009
Principal bundles and the Dixmier Douady class. Zbl 0909.57007
Carey, Alan L.; Crowley, Diarmuid; Murray, Michael K.
6
1998
Quantum Hall effect on the hyperbolic plane in the presence of disorder. Zbl 1055.81571
Carey, A.; Hannabuss, K.; Mathai, V.
6
1999
A \(C^*\)-algebra formulation of the quantization of the electromagnetic field. Zbl 0348.46056
Carey, A. L.; Gaffney, J. M.; Hurst, C. A.
6
1977
Algebras almost commuting with Clifford algebras in a \(II_{\infty}\) factor. Zbl 0732.46039
Carey, Alan L.; Phillips, John
6
1991
Infinite dimensional groups and quantum field theory. Zbl 0545.22019
Carey, A. L.
6
1983
Universal measurability and the Hochschild class of the Chern character. Zbl 1361.46050
Carey, Alan L.; Rennie, Adam; Sukochev, Fedor; Zanin, Dmitriy
6
2016
Higher spectral flow and an entire bivariant JLO cocycle. Zbl 1276.58002
Benameur, Moulay-Tahar; Carey, Alan L.
6
2013
Quantum Hall effect and noncommutative geometry. Zbl 1104.81088
Carey, Alan L.; Hannabuss, Keith C.; Mathai, Varghese
5
2006
Loop groups, anyons and the Calogero-Sutherland model. Zbl 1044.81708
Carey, Alan L.; Langmann, Edwin
5
1999
Modular index invariants of Mumford curves. Zbl 1270.46065
Carey, Alan; Marcolli, Matilde; Rennie, Adam
5
2011
On the problem of the amenability of the gauge group. Zbl 1079.43003
Carey, Alan; Grundling, Hendrik
5
2004
Loop groups and quantum fields. Zbl 1042.81080
Carey, Alan L.; Langmann, Edwin
5
2002
The Pompeiu problem for groups. Zbl 0717.22003
Carey, Alan L.; Kaniuth, Eberhard; Moran, William
5
1991
Spectral flow for nonunital spectral triples. Zbl 1365.46065
Carey, Alan L.; Gayral, Victor; Phillips, John; Rennie, Adam; Sukochev, Fedor A.
5
2015
A Jost-Pais-type reduction of Fredholm determinants and some applications. Zbl 1311.47027
Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri
5
2014
Anomalies of Dirac type operators on Euclidean space. Zbl 1321.47026
Carey, Alan; Grosse, Harald; Kaad, Jens
4
2015
Seiberg-Witten monopoles in three dimensions. Zbl 0871.58015
Carey, A. L.; Wang, B. L.; Zhang, R. B.; McCarthy, J.
4
1997
Holonomy and the Wess-Zumino term. Zbl 0623.58027
Carey, A. L.; Murray, M. K.
4
1986
On characteristic identities for Lie algebras. Zbl 0359.17003
O’Brien, D. M.; Cant, A.; Carey, A. L.
4
1977
Twistors and geometric quantisation theory. Zbl 0406.58018
Carey, A. L.; Hannabuss, K. C.
4
1978
Riemann surfaces, Clifford algebras and infinite dimensional groups. Zbl 0721.30034
Carey, A. L.; Eastwood, M. G.; Hannabuss, K. C.
4
1990
Quantum group actions on the Cuntz algebra. Zbl 0974.17013
Carey, A. L.; Paolucci, A.; Zhang, R. B.
4
2000
Some infinite dimensional groups and bundles. Zbl 0575.46059
Carey, A. L.
4
1984
Semifinite spectral triples associated with graph \(C^*\)-algebras. Zbl 1159.46040
Carey, Alan L.; Phillips, John; Rennie, Adam
4
2008
On an automorphic action of U(n,1) on \({\mathcal O}_ n\). Zbl 0615.46062
Carey, Alan L.; Evans, David E.
4
1987
A Dirac type operator on the non-commutative disk. Zbl 1206.46058
Carey, Alan L.; Klimek, Sławomir; Wojciechowski, Krzysztof P.
4
2010
Families of type III KMS states on a class of \(C^*\)-algebras containing \(O_n\) and \({\mathcal Q}_{\mathbb N}\). Zbl 1217.46039
Carey, A. L.; Phillips, J.; Putnam, I. F.; Rennie, A.
4
2011
Trace formulas for a class of non-Fredholm operators: a review. Zbl 1394.47023
Carey, Alan; Gesztesy, Fritz; Grosse, Harald; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy
4
2016
On index theory for non-Fredholm operators: a \((1+1)\)-dimensional example. Zbl 1384.47006
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dima
4
2016
Group actions on C\(^*\)-algebra, 3-cocycles and quantum field theory. Zbl 0823.46064
Carey, A. L.; Grundling, H.; Raeburn, I.; Sutherland, C.
3
1995
A discrete model of the integer quantum Hall effect. Zbl 0858.46048
McCann, Paul J.; Carey, Alan L.
3
1996
\(K\)-cycles for twisted \(K\)-homology. Zbl 1300.19003
Baum, Paul; Carey, Alan; Wang, Bai-Ling
3
2013
The operator algebras of the two-dimensional Ising model. Zbl 0691.46052
Carey, Alan L.; Evans, David E.
3
1988
Algebras almost commuting with Clifford algebras. Zbl 0725.46042
Carey, A. L.; Evans, D. E.
3
1990
Hilbert \(C^*\)-systems for actions of the circle group. Zbl 1008.46025
Baumgaertel, H.; Carey, A. L.
3
2001
The Landau-Lifshitz equation, elliptic curves and the Ward transform. Zbl 0774.35071
Carey, A. L.; Hannabuss, K. C.; Mason, L. J.; Singer, M. A.
3
1993
Correspondences, von Neumann algebras and holomorphic \(L^2\) torsion. Zbl 0982.58023
Carey, A.; Farber, M.; Mathai, V.
3
2000
On the index of a non-Fredholm model operator. Zbl 1356.47018
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor
3
2016
Topological invariance of the homological index. Zbl 1461.47004
Carey, Alan; Kaad, Jens
3
2017
The geometric triangle for 3-dimensional Seiberg-Witten monopoles. Zbl 1038.58006
Carey, A. L.; Marcolli, M.; Wang, B. L.
2
2003
Seiberg-Witten-Floer homology and gluing formulae. Zbl 1041.57013
Carey, Alan L.; Wang, Bai Ling
2
2003
Realizing \(3\)-cocycles as obstructions. Zbl 0847.17019
Carey, A. L.; Grundling, H.; Hurst, C. A.; Langmann, E.
2
1995
The product formula for regularized Fredholm determinants. Zbl 07326419
Britz, Thomas; Carey, Alan; Gesztesy, Fritz; Nichols, Roger; Sukochev, Fedor; Zanin, Dmitriy
1
2021
The Fermi gerbe of Weyl semimetals. Zbl 1478.81016
Carey, Alan; Thiang, Guo Chuan
1
2021
Spectral flow for skew-adjoint Fredholm operators. Zbl 1472.58017
Carey, Alan L.; Phillips, John; Schulz-Baldes, Hermann
8
2019
Spectral flow of monopole insertion in topological insulators. Zbl 1422.81102
Carey, Alan L.; Schulz-Baldes, Hermann
1
2019
On the global limiting absorption principle for massless Dirac operators. Zbl 1394.81115
Carey, Alan; Gesztesy, Fritz; Kaad, Jens; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor
7
2018
On the Witten index in terms of spectral shift functions. Zbl 1481.47012
Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri
8
2017
Topological invariance of the homological index. Zbl 1461.47004
Carey, Alan; Kaad, Jens
3
2017
A non-commutative framework for topological insulators. Zbl 1364.81269
Bourne, C.; Carey, A. L.; Rennie, A.
24
2016
Universal measurability and the Hochschild class of the Chern character. Zbl 1361.46050
Carey, Alan L.; Rennie, Adam; Sukochev, Fedor; Zanin, Dmitriy
6
2016
Trace formulas for a class of non-Fredholm operators: a review. Zbl 1394.47023
Carey, Alan; Gesztesy, Fritz; Grosse, Harald; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy
4
2016
On index theory for non-Fredholm operators: a \((1+1)\)-dimensional example. Zbl 1384.47006
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dima
4
2016
On the index of a non-Fredholm model operator. Zbl 1356.47018
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor
3
2016
The spectral shift function and the Witten index. Zbl 06981831
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Sukochev, Fedor
1
2016
Double operator integral methods applied to continuity of spectral shift functions. Zbl 06694723
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor
1
2016
The bulk-edge correspondence for the quantum Hall effect in Kasparov theory. Zbl 1325.81199
Bourne, Chris; Carey, Alan L.; Rennie, Adam
16
2015
Spectral flow for nonunital spectral triples. Zbl 1365.46065
Carey, Alan L.; Gayral, Victor; Phillips, John; Rennie, Adam; Sukochev, Fedor A.
5
2015
Anomalies of Dirac type operators on Euclidean space. Zbl 1321.47026
Carey, Alan; Grosse, Harald; Kaad, Jens
4
2015
Index theory for locally compact noncommutative geometries. Zbl 1314.46081
Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A.
30
2014
A Jost-Pais-type reduction of Fredholm determinants and some applications. Zbl 1311.47027
Carey, Alan; Gesztesy, Fritz; Potapov, Denis; Sukochev, Fedor; Tomilov, Yuri
5
2014
Higher spectral flow and an entire bivariant JLO cocycle. Zbl 1276.58002
Benameur, Moulay-Tahar; Carey, Alan L.
6
2013
\(K\)-cycles for twisted \(K\)-homology. Zbl 1300.19003
Baum, Paul; Carey, Alan; Wang, Bai-Ling
3
2013
The local index formula in noncommutative geometry revisited. Zbl 1297.19007
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fedor A.
2
2013
Integration on locally compact noncommutative spaces. Zbl 1251.46036
Carey, A. L.; Gayral, V.; Rennie, A.; Sukochev, F. A.
17
2012
Measurable operators and the asymptotics of heat kernels and zeta functions. Zbl 1270.46059
Carey, Alan; Sukochev, Fedor
7
2012
Twisted cyclic theory, equivariant \(KK\)-theory and KMS states. Zbl 1218.19002
Carey, Alan L.; Neshveyev, Sergey; Nest, Ryszard; Rennie, Adam
22
2011
Spectral triples: examples and index theory. Zbl 1252.58004
Carey, Alan L.; Phillips, John; Rennie, Adam
7
2011
Modular index invariants of Mumford curves. Zbl 1270.46065
Carey, Alan; Marcolli, Matilde; Rennie, Adam
5
2011
Families of type III KMS states on a class of \(C^*\)-algebras containing \(O_n\) and \({\mathcal Q}_{\mathbb N}\). Zbl 1217.46039
Carey, A. L.; Phillips, J.; Putnam, I. F.; Rennie, A.
4
2011
Twisted cyclic theory and an index theory for the gauge invariant KMS state on the Cuntz algebra \(O_{n}\). Zbl 1220.19004
Carey, A. L.; Phillips, J.; Rennie, A.
9
2010
Noncommutative Atiyah-Patodi-Singer boundary conditions and index pairings in \(KK\)-theory. Zbl 1207.46062
Carey, A. L.; Phillips, J.; Rennie, A.
8
2010
A Dirac type operator on the non-commutative disk. Zbl 1206.46058
Carey, Alan L.; Klimek, Sławomir; Wojciechowski, Krzysztof P.
4
2010
Motives, quantum field theory, and pseudodifferential operators. Based on lectures of the conference, Boston, MA, USA, June 2–13, 2008. Zbl 1205.00080
1
2010
Riemann-Roch and index formulae in twisted \(K\)-theory. Zbl 1210.81080
Carey, Alan L.; Wang, Bai-Ling
1
2010
Operator integrals, spectral shift, and spectral flow. Zbl 1163.47008
Azamov, N. A.; Carey, A. L.; Dodds, P. G.; Sukochev, F. A.
42
2009
Differential twisted K-theory and applications. Zbl 1173.19003
Carey, Alan L.; Mickelsson, Jouko; Wang, Bai-Ling
11
2009
Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators. Zbl 1217.58016
Carey, Alan; Potapov, Denis; Sukochev, Fedor
8
2009
Spectral flow invariants and twisted cyclic theory for the Haar state on \(SU_q(2)\). Zbl 1175.46064
Carey, A. L.; Rennie, A.; Tong, K.
7
2009
Thom isomorphism and push-forward map in twisted K-theory. Zbl 1204.55006
Carey, Alan L.; Wang, Bai-Ling
15
2008
The Chern character of semifinite spectral triples. Zbl 1157.46045
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.
9
2008
Fusion of symmetric D-branes and Verlinde rings. Zbl 1161.53069
Carey, Alan L.; Wang, Bai-Ling
7
2008
Semifinite spectral triples associated with graph \(C^*\)-algebras. Zbl 1159.46040
Carey, Alan L.; Phillips, John; Rennie, Adam
4
2008
The Dixmier trace and asymptotics of zeta functions. Zbl 1128.46022
Carey, Alan L.; Rennie, Adam; Sedaev, Aleksandr; Sukochev, Fyodor
35
2007
The spectral shift function and spectral flow. Zbl 1129.58008
Azamov, N. A.; Carey, A. L.; Sukochev, F. A.
14
2007
The local index formula in semifinite von Neumann algebras. I: Spectral flow. Zbl 1118.46060
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.
36
2006
Dixmier traces and some applications in non-commutative geometry. Zbl 1151.46053
Carey, A. L.; Sukochev, F. A.
28
2006
The local index formula in semifinite von Neumann algebras. II: the even case. Zbl 1101.46045
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.
26
2006
An analytic approach to spectral flow in von Neumann algebras. Zbl 1119.58016
Benameur, Moulay-Tahar; Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.; Wojciechowski, Krzysztof P.
20
2006
Quantum Hall effect and noncommutative geometry. Zbl 1104.81088
Carey, Alan L.; Hannabuss, Keith C.; Mathai, Varghese
5
2006
On the relationship of gerbes to the odd families index theorem. Zbl 1105.58015
Carey, Alan L.; Wang, Bai-Ling
1
2006
Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories. Zbl 1088.58018
Carey, Alan L.; Johnson, Stuart; Murray, Michael K.; Stevenson, Danny; Wang, Bai-Ling
37
2005
\(L^2\)-torsion without the determinant class condition and extended \(L^2\) cohomology. Zbl 1079.55015
Braverman, Maxim; Carey, Alan; Farber, Michael; Mathai, Varghese
8
2005
The Hochschild class of the Chern character for semifinite spectral triples. Zbl 1058.19002
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.
28
2004
Spectral flow in Fredholm modules, eta invariants and the JLO cocycle. Zbl 1051.19004
Carey, Alan; Phillips, John
26
2004
Holonomy on \(D\)-branes. Zbl 1092.81055
Carey, Alan L.; Johnson, Stuart; Murray, Michael K.
21
2004
On the problem of the amenability of the gauge group. Zbl 1079.43003
Carey, Alan; Grundling, Hendrik
5
2004
Spectral flow and Dixmier traces. Zbl 1015.19003
Carey, Alan; Phillips, John; Sukochev, Fyodor
50
2003
The geometric triangle for 3-dimensional Seiberg-Witten monopoles. Zbl 1038.58006
Carey, A. L.; Marcolli, M.; Wang, B. L.
2
2003
Seiberg-Witten-Floer homology and gluing formulae. Zbl 1041.57013
Carey, Alan L.; Wang, Bai Ling
2
2003
Twisted \(K\)-theory and \(K\)-theory of bundle gerbes. Zbl 1036.19005
Bouwknegt, Peter; Carey, Alan L.; Mathai, Varghese; Murray, Michael K.; Stevenson, Danny
87
2002
The universal Gerbe, Dixmier-Douady class, and gauge theory. Zbl 1003.58022
Carey, Alan L.; Mickelsson, Jouko
17
2002
Loop groups and quantum fields. Zbl 1042.81080
Carey, Alan L.; Langmann, Edwin
5
2002
Hilbert \(C^*\)-systems for actions of the circle group. Zbl 1008.46025
Baumgaertel, H.; Carey, A. L.
3
2001
Bundle gerbes applied to quantum field theory. Zbl 0961.81127
Carey, Alan L.; Mickelsson, Jouko; Murray, Michael K.
21
2000
On unbounded \(p\)-summable Fredholm modules. Zbl 0960.46039
Carey, A. L.; Phillips, J.; Sukochev, F. A.
12
2000
A gerbe obstruction to quantization of fermions on odd-dimensional manifolds with boundary. Zbl 1038.58027
Carey, Alan; Mickelsson, Jouko
7
2000
Quantum group actions on the Cuntz algebra. Zbl 0974.17013
Carey, A. L.; Paolucci, A.; Zhang, R. B.
4
2000
Correspondences, von Neumann algebras and holomorphic \(L^2\) torsion. Zbl 0982.58023
Carey, A.; Farber, M.; Mathai, V.
3
2000
Quantum Hall effect on the hyperbolic plane in the presence of disorder. Zbl 1055.81571
Carey, A.; Hannabuss, K.; Mathai, V.
6
1999
Loop groups, anyons and the Calogero-Sutherland model. Zbl 1044.81708
Carey, Alan L.; Langmann, Edwin
5
1999
Unbounded Fredholm modules and spectral flow. Zbl 0915.46063
Carey, Alan; Phillips, John
45
1998
Quantum Hall effect on the hyperbolic plane. Zbl 0916.46057
Carey, A. L.; Hannabuss, K. C.; Mathai, V.; McCann, P.
22
1998
Principal bundles and the Dixmier Douady class. Zbl 0909.57007
Carey, Alan L.; Crowley, Diarmuid; Murray, Michael K.
6
1998
Von Neumann spectra near the spectral gap. Zbl 0911.58034
Carey, Alan L.; Coulhon, Thierry; Mathai, Varghese; Phillips, John
2
1998
Geometric analysis and Lie theory in mathematics and physics. Zbl 0878.00016
1
1998
Index theory, gerbes, and Hamiltonian quantization. Zbl 0887.58049
Carey, Alan; Mickelsson, Jouko; Murray, Michael
26
1997
Determinant lines, von Neumann algebras and \(L^ 2\) torsion. Zbl 0872.46031
Carey, A.; Farber, M.; Mathai, V.
9
1997
Higher bundle gerbes and cohomology classes in gauge theories. Zbl 0884.55004
Carey, A. L.; Murray, M. K.; Wang, B. L.
7
1997
Seiberg-Witten monopoles in three dimensions. Zbl 0871.58015
Carey, A. L.; Wang, B. L.; Zhang, R. B.; McCarthy, J.
4
1997
Faddeev’s anomaly and bundle gerbes. Zbl 0848.22024
Carey, A. L.; Murray, M. K.
8
1996
A discrete model of the integer quantum Hall effect. Zbl 0858.46048
McCann, Paul J.; Carey, Alan L.
3
1996
Infinite dimensional groups and Riemann surface field theories. Zbl 0849.22021
Carey, A. L.; Hannabuss, K. C.
1
1996
General existence theorems for orthonormal wavelets, an abstract approach. Zbl 0849.42019
Baggett, Larry; Carey, Alan; Moran, William; Ohring, Peter
22
1995
Group actions on C\(^*\)-algebra, 3-cocycles and quantum field theory. Zbl 0823.46064
Carey, A. L.; Grundling, H.; Raeburn, I.; Sutherland, C.
3
1995
Realizing \(3\)-cocycles as obstructions. Zbl 0847.17019
Carey, A. L.; Grundling, H.; Hurst, C. A.; Langmann, E.
2
1995
A Kirillov theory for divisible nilpotent groups. Zbl 0832.20054
Carey, A. L.; Moran, W.; Pearce, C. E. M.
1
1995
The Landau-Lifshitz equation, elliptic curves and the Ward transform. Zbl 0774.35071
Carey, A. L.; Hannabuss, K. C.; Mason, L. J.; Singer, M. A.
3
1993
\(L^ 2\)-torsion invariants. Zbl 0771.57009
Carey, Alan L.; Mathai, Varghese
17
1992
Finite-dimensional algebraic representations of the infinite phylon group. Zbl 0761.53012
Barndorff-Nielsen, O. E.; Blæsild, P.; Carey, A. L.; Jupp, P. E.; Mora, M.; Murray, M. K.
2
1992
Temperature states on gauge groups. Zbl 0769.46052
Carey, A. L.; Hannabuss, K. C.
2
1992
Multiple phases and return to equilibrium. Zbl 0889.46060
Carey, A. L.; Hume, L. R.
1
1992
Free fields on Riemann surfaces and spectral curves of the chiral Potts model. Zbl 1102.81312
Carey, A. L.; Hannabuss, K. C.; Murray, M. K.
1
1992
String structures and the path fibration of a group. Zbl 0734.55006
Carey, A. L.; Murray, M. K.
10
1991
Algebras almost commuting with Clifford algebras in a \(II_{\infty}\) factor. Zbl 0732.46039
Carey, Alan L.; Phillips, John
6
1991
The Pompeiu problem for groups. Zbl 0717.22003
Carey, Alan L.; Kaniuth, Eberhard; Moran, William
5
1991
Non-monomial multiplier representations of abelian groups. Zbl 0743.22004
Baggett, L. W.; Carey, A. L.; Moran, William; Ramsay, Arlan
1
1991
Riemann surfaces, Clifford algebras and infinite dimensional groups. Zbl 0721.30034
Carey, A. L.; Eastwood, M. G.; Hannabuss, K. C.
4
1990
Algebras almost commuting with Clifford algebras. Zbl 0725.46042
Carey, A. L.; Evans, D. E.
3
1990
Higher-order tensors, strings and new tensors. Zbl 0712.53013
Carey, A. L.; Murray, M. K.
2
1990
Simple examples of conformal field theories. Zbl 0769.46053
Carey, A. L.; Hannabuss, K. C.
1
1990
L\({}^ 2\)-acyclicity and \(L^ 2\)-torsion invariants. Zbl 0726.57018
Mathai, Varghese; Carey, Alan L.
1
1990
...and 30 more Documents
all top 5

Cited by 653 Authors

78 Sukochev, Fedor Anatol’evich
70 Carey, Alan L.
35 Mathai, Varghese
35 Rennie, Adam
27 Zanin, Dmitriy V.
19 Potapov, Denis
16 Mickelsson, Jouko
14 Langmann, Edwin
14 Murray, Michael K.
14 Sati, Hisham
13 Hannabuss, Keith C.
13 Wang, Bailing
12 Phillips, John
12 Schulz-Baldes, Hermann
12 Usachev, Aleksandr Sergeevich
12 Waldorf, Konrad
11 Skripka, Anna
10 Gesztesy, Fritz
9 Levitina, Galina Borisovna
9 Szabo, Richard J.
8 Gomi, Kiyonori
8 Mesland, Bram
8 Schreiber, Urs
7 Bourne, Chris
7 Grosse, Harald
7 Hekmati, Pedram
7 Iochum, Bruno
7 Kaad, Jens
7 Semënov, Evgeniĭ Mikhaĭlovich
7 Stevenson, Danny
7 Thiang, Guo Chuan
6 Benameur, Moulay-Tahar
6 Bunk, Severin
6 Connes, Alain
6 De Nittis, Giuseppe
6 Goffeng, Magnus
6 Grundling, Hendrik B. G. S.
6 Jørgensen, Palle E. T.
6 Klimek, Slawomir
6 Léandre, Rémi
6 Lord, Steven
6 Marcolli, Matilde
6 Sims, Aidan
6 Vozzo, Raymond F.
5 Andruchow, Esteban
5 Azamov, Nurulla A.
5 Baggett, Lawrence Wasson
5 Chiumiento, Eduardo
5 Evans, David E.
5 Gawȩdzki, Krzysztof
5 Gayral, Victor
5 Le Merdy, Christian
5 Mcbride, Matt
5 Packer, Judith A.
5 Peller, Vladimir Vsevolodovich
5 Sedaev, Alexander A.
5 Su, Guangxiang
5 Tomskova, Anna
5 Várilly, Joseph C.
4 Aleksandrov, Aleksei B.
4 Beltiţă, Daniel
4 Bouwknegt, Peter G.
4 Coine, Clement
4 Conti, Roberto
4 Guido, Daniele
4 Han, Fei
4 Hurst, Charles Angas
4 Isola, Tommaso
4 Kaniuth, Eberhard
4 Kellendonk, Johannes
4 Larotonda, Gabriel
4 McDonald, Edward Andrew
4 Merrill, Kathy D.
4 Moran, William
4 Nest, Ryszard
4 Palmer, John N.
4 Sakbaev, Vsevolod Zhanovich
4 Sitarz, Andrzej
4 van Suijlekom, Walter Daniël
3 Aiello, Valeriano
3 Aniello, Paolo
3 Arici, Francesca
3 Azzali, Sara
3 Bédos, Erik
3 Bunke, Ulrich
3 Carrillo-Rouse, Paulo
3 Chattopadhyay, Arup
3 Eckhardt, Caleb
3 Evslin, Jarah
3 Farsi, Carla
3 Fidaleo, Francesco
3 Fiorenza, Domenico
3 Freed, Daniel Stuart
3 Gabriel, Olivier
3 Gillaspy, Elizabeth
3 Grady, Daniel
3 Hayashi, Shin
3 Ion, D. B.
3 Junge, Marius
3 Jurčo, Branislav
...and 553 more Authors
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Cited in 139 Serials

88 Communications in Mathematical Physics
80 Journal of Functional Analysis
54 Journal of Geometry and Physics
40 Journal of Mathematical Physics
33 Advances in Mathematics
23 Reviews in Mathematical Physics
23 Proceedings of the American Mathematical Society
23 Journal of Noncommutative Geometry
22 Letters in Mathematical Physics
12 Integral Equations and Operator Theory
11 The Journal of Fourier Analysis and Applications
10 Journal of Mathematical Analysis and Applications
10 Transactions of the American Mathematical Society
10 Annales Henri Poincaré
8 Acta Applicandae Mathematicae
8 Annales de l’Institut Henri Poincaré. Physique Théorique
8 Journal of the Australian Mathematical Society
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Journal für die Reine und Angewandte Mathematik
7 Publications of the Research Institute for Mathematical Sciences, Kyoto University
7 International Journal of Geometric Methods in Modern Physics
7 Journal of \(K\)-Theory
6 International Journal of Mathematics
6 Communications in Contemporary Mathematics
5 International Journal of Theoretical Physics
5 Mathematische Annalen
5 \(K\)-Theory
5 Mathematical Physics, Analysis and Geometry
5 Algebraic & Geometric Topology
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal of Homotopy and Related Structures
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Nuclear Physics. B
4 Reports on Mathematical Physics
4 Mathematische Zeitschrift
4 Infinite Dimensional Analysis, Quantum Probability and Related Topics
4 Journal of High Energy Physics
4 Journal of Topology and Analysis
3 Theoretical and Mathematical Physics
3 Annales de l’Institut Fourier
3 Inventiones Mathematicae
3 Mathematische Nachrichten
3 Ergodic Theory and Dynamical Systems
3 The Journal of Geometric Analysis
3 Expositiones Mathematicae
3 Russian Mathematics
3 Geometry & Topology
3 Journal of Topology
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
3 Journal of Spectral Theory
2 Bulletin of the Australian Mathematical Society
2 Israel Journal of Mathematics
2 Journal d’Analyse Mathématique
2 Mathematical Notes
2 Dissertationes Mathematicae
2 Duke Mathematical Journal
2 Journal of Algebra
2 Memoirs of the American Mathematical Society
2 Monatshefte für Mathematik
2 Journal of Mathematical Sciences (New York)
2 Annales Mathématiques Blaise Pascal
2 Journal of Lie Theory
2 Opuscula Mathematica
2 Documenta Mathematica
2 Algebras and Representation Theory
2 Acta Mathematica Sinica. English Series
2 Banach Journal of Mathematical Analysis
2 Kyoto Journal of Mathematics
1 Modern Physics Letters A
1 International Journal of Modern Physics A
1 General Relativity and Gravitation
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Statistical Physics
1 Physics Letters. B
1 Russian Mathematical Surveys
1 Studia Mathematica
1 The Mathematical Intelligencer
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Functional Analysis and its Applications
1 Geometriae Dedicata
1 Illinois Journal of Mathematics
1 Journal of Computational and Applied Mathematics
1 Journal of the London Mathematical Society. Second Series
1 Journal of Soviet Mathematics
1 Mathematica Scandinavica
1 Nagoya Mathematical Journal
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Transactions of the Moscow Mathematical Society
1 Topology and its Applications
1 Advances in Applied Mathematics
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Bulletin of the Korean Mathematical Society
1 Annals of Global Analysis and Geometry
...and 39 more Serials
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Cited in 50 Fields

283 Functional analysis (46-XX)
242 Quantum theory (81-XX)
205 Global analysis, analysis on manifolds (58-XX)
142 Operator theory (47-XX)
112 Differential geometry (53-XX)
109 \(K\)-theory (19-XX)
109 Topological groups, Lie groups (22-XX)
67 Algebraic topology (55-XX)
66 Manifolds and cell complexes (57-XX)
44 Statistical mechanics, structure of matter (82-XX)
39 Abstract harmonic analysis (43-XX)
37 Harmonic analysis on Euclidean spaces (42-XX)
29 Algebraic geometry (14-XX)
24 Partial differential equations (35-XX)
22 Nonassociative rings and algebras (17-XX)
22 Category theory; homological algebra (18-XX)
22 Relativity and gravitational theory (83-XX)
21 Group theory and generalizations (20-XX)
15 Dynamical systems and ergodic theory (37-XX)
13 Probability theory and stochastic processes (60-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
10 Functions of a complex variable (30-XX)
8 Number theory (11-XX)
7 Measure and integration (28-XX)
7 Sequences, series, summability (40-XX)
6 Convex and discrete geometry (52-XX)
6 General topology (54-XX)
6 Numerical analysis (65-XX)
5 Potential theory (31-XX)
5 Mechanics of particles and systems (70-XX)
4 Combinatorics (05-XX)
4 Special functions (33-XX)
4 Difference and functional equations (39-XX)
4 Approximations and expansions (41-XX)
4 Statistics (62-XX)
4 Information and communication theory, circuits (94-XX)
3 General and overarching topics; collections (00-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Ordinary differential equations (34-XX)
2 Associative rings and algebras (16-XX)
2 Integral transforms, operational calculus (44-XX)
2 Integral equations (45-XX)
2 Geometry (51-XX)
2 Optics, electromagnetic theory (78-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Real functions (26-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Computer science (68-XX)

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