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## Nest, Ryszard

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 Author ID: nest.ryszard Published as: Nest, Ryszard; Nest, R. External Links: MGP
 Documents Indexed: 73 Publications since 1987 6 Contributions as Editor
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#### Co-Authors

 1 single-authored 23 Tsygan, Boris 13 Bressler, Paul 11 Gorokhovsky, Alexander 7 Aastrup, Johannes 7 Natsume, Toshikazu 6 Echterhoff, Siegfried 6 Meyer, Ralf 5 Durhuus, Bergfinnur 5 Elliott, George A. 5 Grimstrup, Jesper Møller 5 Schrohe, Elmar 4 Kaad, Jens 3 Esposito, Chiara 3 Jakobsen, Hans Plesner 3 Oyono-Oyono, Hervé 2 Bieliavsky, Pierre 2 Connes, Alain 2 Cuntz, Joachim 2 Jonsson, Thordur 2 Melo, Severino Toscano 2 Rennie, Adam 2 Yu, Guoliang 1 Brenken, Berndt A. 1 Carey, Alan L. 1 Chabert, Jérôme 1 Cortiñas, Guillermo H. 1 Dabrowski, Ludwik 1 De Kleijn, Niek 1 Enock, Michel 1 Fleischhack, Christian 1 Hajac, Piotr M. 1 Karoubi, Max 1 Leichtnam, Eric 1 Li, Kang 1 Marcolli, Matilde 1 Neshveyev, Sergey V. 1 Nikolaus, Thomas 1 Paschke, Mario 1 Pask, David 1 Peter, Ingo J. 1 Rădulescu, Florin 1 Rørdam, Mikael 1 Schick, Thomas 1 Sims, Aidan 1 Skalski, Adam G. 1 Vogt, Elmar 1 Voigt, Christian 1 Waldmann, Stefan 1 Weibel, Charles A. 1 Werner, Wend 1 Zieliński, Bartosz
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#### Serials

 6 Communications in Mathematical Physics 6 Advances in Mathematics 6 Journal of Functional Analysis 4 Journal für die Reine und Angewandte Mathematik 4 Oberwolfach Reports 4 Journal of Noncommutative Geometry 2 Classical and Quantum Gravity 2 Letters in Mathematical Physics 2 IMRN. International Mathematics Research Notices 1 Physics Letters. B 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Acta Mathematica 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Publications Mathématiques 1 Journal of Differential Geometry 1 Manuscripta Mathematica 1 Mathematica Scandinavica 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Topology 1 Transactions of the American Mathematical Society 1 Journal of Operator Theory 1 $$K$$-Theory 1 Nuclear Physics, B, Proceedings Supplements 1 Journal of Lie Theory 1 Theory and Applications of Categories 1 The Asian Journal of Mathematics 1 Moscow Mathematical Journal 1 The Journal of Symplectic Geometry 1 Journal of the Institute of Mathematics of Jussieu 1 Banach Center Publications 1 Münster Journal of Mathematics 1 Journal of $$K$$-Theory 1 Annals of $$K$$-Theory 1 EMS Series of Congress Reports
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#### Fields

 36 Functional analysis (46-XX) 33 Global analysis, analysis on manifolds (58-XX) 25 $$K$$-theory (19-XX) 23 Differential geometry (53-XX) 15 Quantum theory (81-XX) 12 Category theory; homological algebra (18-XX) 8 Operator theory (47-XX) 6 Algebraic geometry (14-XX) 6 Associative rings and algebras (16-XX) 6 Algebraic topology (55-XX) 6 Manifolds and cell complexes (57-XX) 6 Relativity and gravitational theory (83-XX) 5 General and overarching topics; collections (00-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Partial differential equations (35-XX) 4 Nonassociative rings and algebras (17-XX) 4 Topological groups, Lie groups (22-XX) 3 Group theory and generalizations (20-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX)

#### Citations contained in zbMATH Open

64 Publications have been cited 669 times in 479 Documents Cited by Year
Algebraic index theorem. Zbl 0887.58050
Nest, Ryszard; Tsygan, Boris
1995
The Baum-Connes conjecture via localisation of categories. Zbl 1092.19004
Meyer, Ralf; Nest, Ryszard
2006
Algebraic index theorem for families. Zbl 0837.58029
Nest, Ryszard; Tsygan, Boris
1995
Deformations of symplectic Lie algebroids, deformations of holomorphic symplectic structures, and index theorems. Zbl 1023.53060
Nest, Ryszard; Tsygan, Boris
2001
Irreducible inclusions of factors, multiplicative unitaries, and Kac algebras. Zbl 0847.22003
Enock, Michel; Nest, Ryszard
1996
Cyclic cohomology for one-parameter smooth crossed products. Zbl 0655.46054
Elliott, George A.; Natsume, Toshikazu; Nest, Ryszard
1988
The Connes-Kasparov conjecture for almost connected groups and for liner $$p$$-adic groups. Zbl 1048.46057
Chabert, Jérôme; Echterhoff, Siegfried; Nest, Ryszard
2003
Twisted cyclic theory, equivariant $$KK$$-theory and KMS states. Zbl 1218.19002
Carey, Alan L.; Neshveyev, Sergey; Nest, Ryszard; Rennie, Adam
2011
Deformation quantization of gerbes. Zbl 1125.53069
Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris
2007
C$$^*$$-algebras over topological spaces: filtrated $$K$$-theory. Zbl 1251.19004
Meyer, Ralf; Nest, Ryszard
2012
Riemann-Roch theorems via deformation quantization. I. Zbl 1021.53064
Bressler, P.; Nest, R.; Tsygan, B.
2002
$$C^*$$-algebras over topological spaces: the bootstrap class. Zbl 1191.46058
Meyer, Ralf; Nest, Ryszard
2009
Equivariant Poincaré duality for quantum group actions. Zbl 1191.58003
Nest, Ryszard; Voigt, Christian
2010
Formal deformations of symplectic manifolds with boundary. Zbl 0866.58038
Nest, Ryszard; Tsygan, Boris
1996
Topological quantum field theories from generalized $$6j$$-symbols. Zbl 0808.57010
Durhuus, Bergfinnur; Jakobsen, Hans Plesner; Nest, Ryszard
1993
The Heisenberg group and $$K$$-theory. Zbl 0803.46076
Elliott, George A.; Natsume, Toshikazu; Nest, Ryszard
1993
Cyclic cohomology of crossed products with $${\mathbb{Z}}$$. Zbl 0658.46054
Nest, Ryszard
1988
On spectral triples in quantum gravity. II. Zbl 1158.46312
Aastrup, Johannes; Grimstrup, Jesper Møller; Nest, Ryszard
2009
Principal non-commutative torus bundles. Zbl 1176.19003
Echterhoff, Siegfried; Nest, Ryszard; Oyono-Oyono, Herve
2009
Homological algebra in bivariant $$K$$-theory and other triangulated categories. I. Zbl 1234.18008
Meyer, Ralf; Nest, Ryszard
2010
On the cohomology ring of an algebra. Zbl 0919.57019
Nest, Ryszard; Tsygan, Boris
1999
$$KK$$-theory and spectral flow in von Neumann algebras. Zbl 1260.19001
Kaad, J.; Nest, R.; Rennie, A.
2012
$$C^*$$-structure and K-theory of Boutet de Monvel’s algebra. Zbl 1043.19003
Melo, S. T.; Nest, R.; Schrohe, E.
2003
An analogue of the Baum-Connes isomorphism for coactions of compact groups. Zbl 1155.19002
Meyer, Ralf; Nest, Ryszard
2007
Topological approach to quantum surfaces. Zbl 0961.46042
Natsume, Toshikazu; Nest, Ryszard
1999
Formal versus analytic index theorems. Zbl 0871.58076
Nest, Ryszard; Tsygan, Boris
1996
On spectral triples in quantum gravity. I. Zbl 1162.83300
Aastrup, Johannes; Grimstrup, Jesper Møller; Nest, Ryszard
2009
Remarks on modules over deformation quantization algebras. Zbl 1116.53052
Nest, Ryszard; Tsygan, Boris
2004
Deformations of gerbes on smooth manifolds. Zbl 1157.53051
Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris
2008
Strict quantizations of symplectic manifolds. Zbl 1064.53062
Natsume, Toshikazu; Nest, Ryszard; Peter, Ingo
2003
Dixmier’s trace for boundary value problems. Zbl 0914.35158
Nest, Ryszard; Schrohe, Elmar
1998
A construction of topological quantum field theories from $$6j$$-symbols. Zbl 0957.57502
Durhuus, B.; Jakobsen, Hans P.; Nest, R.
1992
The Atiyah-Singer index theorem as passage to the classical limit in quantum mechanics. Zbl 0876.58047
Elliott, George A.; Natsume, Toshikazu; Nest, Ryszard
1996
A new spectral triple over a space of connections. Zbl 1187.58026
Aastrup, Johannes; Grimstrup, Jesper Møller; Nest, Ryszard
2009
Local formula for the index of a Fourier integral operator. Zbl 1030.58015
Leichtnam, Eric; Nest, Ryszard; Tsygan, Boris
2001
Deformations of algebroid stacks. Zbl 1209.53062
Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris
2011
Fibrations with noncommutative fibers. Zbl 1179.19003
Echterhoff, Siegfried; Nest, Ryszard; Oyono-Oyono, Hervé
2009
A continuous field of $$C^{*}$$-algebras and the tangent groupoid for manifolds with boundary. Zbl 1131.58017
Aastrup, Johannes; Nest, Ryszard; Schrohe, Elmar
2006
Formality theorem for gerbes. Zbl 1311.53023
Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris
2015
The $$K$$-theory of twisted multipullback quantum odd spheres and complex projective spaces. Zbl 1414.46050
Hajac, Piotr M.; Nest, Ryszard; Pask, David; Sims, Aidan; Zieliński, Bartosz
2018
On the classification of noncommutative tori. III. Zbl 0631.46055
Brenken, Berndt; Cuntz, Joachim; Elliott, George A.; Nest, Ryszard
1987
Noncommutative scalar solitons: existence and nonexistence. Zbl 0972.81192
Durhuus, B.; Jonsson, T.; Nest, R.
2001
The Baum-Connes conjecture via localization of Categories. Zbl 1053.19002
Meyer, Ralf; Nest, Ryszard
2004
On semi-classical states of quantum gravity and noncommutative geometry. Zbl 1211.58001
Aastrup, Johannes; Grimstrup, Jesper Møller; Paschke, Mario; Nest, Ryszard
2011
The existence and stability of noncommutative scalar solitons. Zbl 1029.81065
Durhuus, Bergfinnur; Jonsson, Thordur; Nest, Ryszard
2003
Riemann-Roch theorems via deformation quantization. II. Zbl 1021.53065
Bressler, P.; Nest, R.; Tsygan, B.
2002
Holonomy loops, spectral triples and quantum gravity. Zbl 1173.83011
Aastrup, Johannes; Grimstrup, Jesper Møller; Nest, Ryszard
2009
Spectral action and the Connes-Chamsedinne model. Zbl 1042.81106
Nest, Ryszard; Vogt, Elmar; Werner, Wend
2002
Deformations of Azumaya algebras. Zbl 1204.53078
Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris
2007
The cyclic cohomology of compact Lie groups and the direct sum formula. Zbl 0726.22008
Natsume, Toshikazu; Nest, Ryszard
1990
Uniqueness of the momentum map. Zbl 1341.53117
Esposito, Chiara; Nest, Ryszard
2016
Deligne groupoid revisited. Zbl 1330.18022
Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris
2015
The structure of the Brauer group and crossed products of $$C_0(X)$$-linear group actions on $$C_0(X,\mathcal K)$$. Zbl 0980.46049
Echterhoff, Siegfried; Nest, Ryszard
2001
A Riemann-Roch type formula for the microlocal Euler class. Zbl 0915.32001
Bressler, P.; Nest, R.; Tsygan, B.
1997
$$K$$-theory of Boutet de Monvel’s algebra. Zbl 1065.19005
Melo, Severino T.; Nest, Ryszard; Schrohe, Elmar
2003
The local structure of the cyclic cohomology of Heisenberg Lie groups. Zbl 0835.19003
Natsume, T.; Nest, R.
1994
A transformation rule for the index of commuting operators. Zbl 1334.47027
2015
Chern character for twisted complexes. Zbl 1146.19003
Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris
2008
Index theory for boundary value problems via continuous fields of $$C^*$$-algebras. Zbl 1192.58013
Aastrup, Johannes; Nest, Ryszard; Schrohe, Elmar
2009
An analogue of Serre fibrations for $$C^*$$-algebra bundles. Zbl 1192.46067
Echterhoff, Siegfried; Nest, Ryszard; Oyono-Oyono, Hervé
2009
The Fukaya type categories for associative algebras. Zbl 1167.18303
Nest, Ryszard; Tsygan, Boris
1997
Algebraic index theorem for symplectic deformations of gerbes. Zbl 1235.53094
Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris
2011
Product structures in (cyclic)homology and their applications. Zbl 0926.58018
Nest, Ryszard; Tsygan, Boris
1997
The orbit method for the Baum-Connes conjecture for algebraic groups over local function fields. Zbl 1390.19008
Echterhoff, Siegfried; Li, Kang; Nest, Ryszard
2018
The $$K$$-theory of twisted multipullback quantum odd spheres and complex projective spaces. Zbl 1414.46050
Hajac, Piotr M.; Nest, Ryszard; Pask, David; Sims, Aidan; Zieliński, Bartosz
2018
The orbit method for the Baum-Connes conjecture for algebraic groups over local function fields. Zbl 1390.19008
Echterhoff, Siegfried; Li, Kang; Nest, Ryszard
2018
Uniqueness of the momentum map. Zbl 1341.53117
Esposito, Chiara; Nest, Ryszard
2016
Formality theorem for gerbes. Zbl 1311.53023
Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris
2015
Deligne groupoid revisited. Zbl 1330.18022
Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris
2015
A transformation rule for the index of commuting operators. Zbl 1334.47027
2015
C$$^*$$-algebras over topological spaces: filtrated $$K$$-theory. Zbl 1251.19004
Meyer, Ralf; Nest, Ryszard
2012
$$KK$$-theory and spectral flow in von Neumann algebras. Zbl 1260.19001
Kaad, J.; Nest, R.; Rennie, A.
2012
Twisted cyclic theory, equivariant $$KK$$-theory and KMS states. Zbl 1218.19002
Carey, Alan L.; Neshveyev, Sergey; Nest, Ryszard; Rennie, Adam
2011
Deformations of algebroid stacks. Zbl 1209.53062
Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris
2011
On semi-classical states of quantum gravity and noncommutative geometry. Zbl 1211.58001
Aastrup, Johannes; Grimstrup, Jesper Møller; Paschke, Mario; Nest, Ryszard
2011
Algebraic index theorem for symplectic deformations of gerbes. Zbl 1235.53094
Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris
2011
Equivariant Poincaré duality for quantum group actions. Zbl 1191.58003
Nest, Ryszard; Voigt, Christian
2010
Homological algebra in bivariant $$K$$-theory and other triangulated categories. I. Zbl 1234.18008
Meyer, Ralf; Nest, Ryszard
2010
$$C^*$$-algebras over topological spaces: the bootstrap class. Zbl 1191.46058
Meyer, Ralf; Nest, Ryszard
2009
On spectral triples in quantum gravity. II. Zbl 1158.46312
Aastrup, Johannes; Grimstrup, Jesper Møller; Nest, Ryszard
2009
Principal non-commutative torus bundles. Zbl 1176.19003
Echterhoff, Siegfried; Nest, Ryszard; Oyono-Oyono, Herve
2009
On spectral triples in quantum gravity. I. Zbl 1162.83300
Aastrup, Johannes; Grimstrup, Jesper Møller; Nest, Ryszard
2009
A new spectral triple over a space of connections. Zbl 1187.58026
Aastrup, Johannes; Grimstrup, Jesper Møller; Nest, Ryszard
2009
Fibrations with noncommutative fibers. Zbl 1179.19003
Echterhoff, Siegfried; Nest, Ryszard; Oyono-Oyono, Hervé
2009
Holonomy loops, spectral triples and quantum gravity. Zbl 1173.83011
Aastrup, Johannes; Grimstrup, Jesper Møller; Nest, Ryszard
2009
Index theory for boundary value problems via continuous fields of $$C^*$$-algebras. Zbl 1192.58013
Aastrup, Johannes; Nest, Ryszard; Schrohe, Elmar
2009
An analogue of Serre fibrations for $$C^*$$-algebra bundles. Zbl 1192.46067
Echterhoff, Siegfried; Nest, Ryszard; Oyono-Oyono, Hervé
2009
Deformations of gerbes on smooth manifolds. Zbl 1157.53051
Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris
2008
Chern character for twisted complexes. Zbl 1146.19003
Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris
2008
Deformation quantization of gerbes. Zbl 1125.53069
Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris
2007
An analogue of the Baum-Connes isomorphism for coactions of compact groups. Zbl 1155.19002
Meyer, Ralf; Nest, Ryszard
2007
Deformations of Azumaya algebras. Zbl 1204.53078
Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris
2007
The Baum-Connes conjecture via localisation of categories. Zbl 1092.19004
Meyer, Ralf; Nest, Ryszard
2006
A continuous field of $$C^{*}$$-algebras and the tangent groupoid for manifolds with boundary. Zbl 1131.58017
Aastrup, Johannes; Nest, Ryszard; Schrohe, Elmar
2006
Remarks on modules over deformation quantization algebras. Zbl 1116.53052
Nest, Ryszard; Tsygan, Boris
2004
The Baum-Connes conjecture via localization of Categories. Zbl 1053.19002
Meyer, Ralf; Nest, Ryszard
2004
The Connes-Kasparov conjecture for almost connected groups and for liner $$p$$-adic groups. Zbl 1048.46057
Chabert, Jérôme; Echterhoff, Siegfried; Nest, Ryszard
2003
$$C^*$$-structure and K-theory of Boutet de Monvel’s algebra. Zbl 1043.19003
Melo, S. T.; Nest, R.; Schrohe, E.
2003
Strict quantizations of symplectic manifolds. Zbl 1064.53062
Natsume, Toshikazu; Nest, Ryszard; Peter, Ingo
2003
The existence and stability of noncommutative scalar solitons. Zbl 1029.81065
Durhuus, Bergfinnur; Jonsson, Thordur; Nest, Ryszard
2003
$$K$$-theory of Boutet de Monvel’s algebra. Zbl 1065.19005
Melo, Severino T.; Nest, Ryszard; Schrohe, Elmar
2003
Riemann-Roch theorems via deformation quantization. I. Zbl 1021.53064
Bressler, P.; Nest, R.; Tsygan, B.
2002
Riemann-Roch theorems via deformation quantization. II. Zbl 1021.53065
Bressler, P.; Nest, R.; Tsygan, B.
2002
Spectral action and the Connes-Chamsedinne model. Zbl 1042.81106
Nest, Ryszard; Vogt, Elmar; Werner, Wend
2002
Deformations of symplectic Lie algebroids, deformations of holomorphic symplectic structures, and index theorems. Zbl 1023.53060
Nest, Ryszard; Tsygan, Boris
2001
Local formula for the index of a Fourier integral operator. Zbl 1030.58015
Leichtnam, Eric; Nest, Ryszard; Tsygan, Boris
2001
Noncommutative scalar solitons: existence and nonexistence. Zbl 0972.81192
Durhuus, B.; Jonsson, T.; Nest, R.
2001
The structure of the Brauer group and crossed products of $$C_0(X)$$-linear group actions on $$C_0(X,\mathcal K)$$. Zbl 0980.46049
Echterhoff, Siegfried; Nest, Ryszard
2001
On the cohomology ring of an algebra. Zbl 0919.57019
Nest, Ryszard; Tsygan, Boris
1999
Topological approach to quantum surfaces. Zbl 0961.46042
Natsume, Toshikazu; Nest, Ryszard
1999
Dixmier’s trace for boundary value problems. Zbl 0914.35158
Nest, Ryszard; Schrohe, Elmar
1998
A Riemann-Roch type formula for the microlocal Euler class. Zbl 0915.32001
Bressler, P.; Nest, R.; Tsygan, B.
1997
The Fukaya type categories for associative algebras. Zbl 1167.18303
Nest, Ryszard; Tsygan, Boris
1997
Product structures in (cyclic)homology and their applications. Zbl 0926.58018
Nest, Ryszard; Tsygan, Boris
1997
Irreducible inclusions of factors, multiplicative unitaries, and Kac algebras. Zbl 0847.22003
Enock, Michel; Nest, Ryszard
1996
Formal deformations of symplectic manifolds with boundary. Zbl 0866.58038
Nest, Ryszard; Tsygan, Boris
1996
Formal versus analytic index theorems. Zbl 0871.58076
Nest, Ryszard; Tsygan, Boris
1996
The Atiyah-Singer index theorem as passage to the classical limit in quantum mechanics. Zbl 0876.58047
Elliott, George A.; Natsume, Toshikazu; Nest, Ryszard
1996
Algebraic index theorem. Zbl 0887.58050
Nest, Ryszard; Tsygan, Boris
1995
Algebraic index theorem for families. Zbl 0837.58029
Nest, Ryszard; Tsygan, Boris
1995
The local structure of the cyclic cohomology of Heisenberg Lie groups. Zbl 0835.19003
Natsume, T.; Nest, R.
1994
Topological quantum field theories from generalized $$6j$$-symbols. Zbl 0808.57010
Durhuus, Bergfinnur; Jakobsen, Hans Plesner; Nest, Ryszard
1993
The Heisenberg group and $$K$$-theory. Zbl 0803.46076
Elliott, George A.; Natsume, Toshikazu; Nest, Ryszard
1993
A construction of topological quantum field theories from $$6j$$-symbols. Zbl 0957.57502
Durhuus, B.; Jakobsen, Hans P.; Nest, R.
1992
The cyclic cohomology of compact Lie groups and the direct sum formula. Zbl 0726.22008
Natsume, Toshikazu; Nest, Ryszard
1990
Cyclic cohomology for one-parameter smooth crossed products. Zbl 0655.46054
Elliott, George A.; Natsume, Toshikazu; Nest, Ryszard
1988
Cyclic cohomology of crossed products with $${\mathbb{Z}}$$. Zbl 0658.46054
Nest, Ryszard
1988
On the classification of noncommutative tori. III. Zbl 0631.46055
Brenken, Berndt; Cuntz, Joachim; Elliott, George A.; Nest, Ryszard
1987
all top 5

#### Cited by 467 Authors

 22 Nest, Ryszard 16 Rennie, Adam 16 Waldmann, Stefan 12 Meyer, Ralf 11 Mathai, Varghese 10 Aastrup, Johannes 10 Tang, Xiang 9 Gorokhovsky, Alexander 9 Kellendonk, Johannes 9 Miranda, Eva 8 Bentmann, Rasmus 8 Tsygan, Boris 7 Bressler, Paul 7 Enock, Michel 7 Grimstrup, Jesper Møller 7 Karabegov, Alexander V. 7 Pflaum, Markus J. 7 Voigt, Christian 6 Emerson, Heath 6 Hochs, Peter 6 Mesland, Bram 6 Ruiz, Efren 6 Schrohe, Elmar 6 Yekutieli, Amnon 5 Bordemann, Martin 5 Bourne, Chris 5 Echterhoff, Siegfried 5 Eilers, Søren 5 Elliott, George A. 5 Goffeng, Magnus 5 Gutt, Simone 5 Neumaier, Nikolai 5 Nistor, Victor 5 Piszczek, Krzysztof 5 Posthuma, Hessel Bouke 5 Savin, Anton Yur’evich 5 Tomforde, Mark 5 van Suijlekom, Walter Daniël 4 Carey, Alan L. 4 Dadarlat, Marius 4 Dell’Ambrogio, Ivo 4 Durhuus, Bergfinnur 4 Esposito, Chiara 4 Grady, Ryan E. 4 Katsura, Takeshi 4 Lai, Alan 4 Li, Hanfeng 4 Natsume, Toshikazu 4 Neshveyev, Sergey V. 4 Ramadoss, Ajay C. 4 Restorff, Gunnar 4 Roy, Sutanu 4 Schulz-Baldes, Hermann 4 Sternin, Boris Yur’evich 4 Stiénon, Mathieu 4 Xu, Ping 4 Yamashita, Makoto 3 Alekseev, Anton Yu. 3 Arici, Francesca 3 Arklint, Sara E. 3 Bieliavsky, Pierre 3 Burgstaller, Bernhard 3 Bursztyn, Henrique 3 Calaque, Damien 3 Carrillo-Rouse, Paulo 3 D’Agnolo, Andrea 3 Dolgushev, Vasily A. 3 Etingof, Pavel Il’ich 3 Fuchs, Jürgen 3 Gayral, Victor 3 Hannabuss, Keith C. 3 Iochum, Bruno 3 Izumi, Masaki 3 Kashiwara, Masaki 3 Kiesenhofer, Anna 3 Kubota, Yosuke 3 Lescure, Jean-Marie 3 Leung, Naichung Conan 3 Li, Qin 3 Li, Xin 3 Mahanta, Snigdhayan 3 Melo, Severino Toscano 3 Polesello, Pietro 3 Schapira, Pierre 3 Schedler, Travis 3 Schomerus, Volker 3 Sims, Aidan 3 Skandalis, Georges 3 Sukochev, Fedor Anatol’evich 3 Tabuada, Gonçalo 3 Thiang, Guo Chuan 3 Tseng, Hsian-Hua 3 Uuye, Otgonbayar 3 Wagner, Stefan 3 Wang, Hang 3 Woronowicz, Stanisław Lech 2 Aiello, Valeriano 2 Aoi, Hisashi 2 Arano, Yuki 2 Arnlind, Joakim ...and 367 more Authors
all top 5

#### Cited in 102 Serials

 48 Advances in Mathematics 43 Journal of Functional Analysis 42 Communications in Mathematical Physics 35 Journal of Geometry and Physics 35 Journal of Noncommutative Geometry 20 Letters in Mathematical Physics 13 Journal of Mathematical Physics 10 Journal für die Reine und Angewandte Mathematik 9 Journal of $$K$$-Theory 8 Reviews in Mathematical Physics 8 Mathematische Annalen 8 Proceedings of the American Mathematical Society 8 Annales Henri Poincaré 7 Duke Mathematical Journal 6 Transactions of the American Mathematical Society 6 Journal of Homotopy and Related Structures 6 Journal of Topology and Analysis 5 Journal of Algebra 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 International Journal of Mathematics 5 International Journal of Geometric Methods in Modern Physics 4 Journal of Mathematical Analysis and Applications 4 Inventiones Mathematicae 4 Journal of Pure and Applied Algebra 4 Documenta Mathematica 4 Mathematical Physics, Analysis and Geometry 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Israel Journal of Mathematics 3 $$K$$-Theory 3 Geometric and Functional Analysis. GAFA 3 Journal of Mathematical Sciences (New York) 3 Selecta Mathematica. New Series 3 Journal of High Energy Physics 3 Journal of the Institute of Mathematics of Jussieu 2 International Journal of Modern Physics A 2 Communications in Algebra 2 Nuclear Physics. B 2 Acta Mathematica 2 Compositio Mathematica 2 Mathematica Scandinavica 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Results in Mathematics 2 Semigroup Forum 2 Nuclear Physics, B, Proceedings Supplements 2 Geometry & Topology 2 Algebraic & Geometric Topology 2 Journal of the Australian Mathematical Society 2 Central European Journal of Mathematics 2 Journal of Pseudo-Differential Operators and Applications 2 Annals of $$K$$-Theory 2 Transactions of the American Mathematical Society. Series B 1 Bulletin of the Australian Mathematical Society 1 Houston Journal of Mathematics 1 Physics Reports 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Fortschritte der Physik 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales de l’Institut Fourier 1 Archivum Mathematicum 1 Bulletin de la Société Mathématique de France 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Integral Equations and Operator Theory 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Ergodic Theory and Dynamical Systems 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Zeitschrift für Analysis und ihre Anwendungen 1 Annals of Global Analysis and Geometry 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Journal of Knot Theory and its Ramifications 1 Experimental Mathematics 1 Applied Categorical Structures 1 Russian Journal of Mathematical Physics 1 Annales Mathématiques Blaise Pascal 1 The New York Journal of Mathematics 1 Journal of Lie Theory 1 Bulletin des Sciences Mathématiques 1 Transformation Groups 1 Abstract and Applied Analysis 1 Algebras and Representation Theory 1 Regular and Chaotic Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 The Australian Journal of Mathematical Analysis and Applications 1 Advances in Mathematical Physics 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Kyoto Journal of Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM ...and 2 more Serials
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#### Cited in 40 Fields

 227 Functional analysis (46-XX) 147 Differential geometry (53-XX) 118 Global analysis, analysis on manifolds (58-XX) 113 $$K$$-theory (19-XX) 111 Quantum theory (81-XX) 46 Associative rings and algebras (16-XX) 45 Category theory; homological algebra (18-XX) 41 Topological groups, Lie groups (22-XX) 31 Operator theory (47-XX) 30 Algebraic geometry (14-XX) 30 Nonassociative rings and algebras (17-XX) 27 Group theory and generalizations (20-XX) 26 Manifolds and cell complexes (57-XX) 21 Several complex variables and analytic spaces (32-XX) 19 Algebraic topology (55-XX) 17 Dynamical systems and ergodic theory (37-XX) 17 Relativity and gravitational theory (83-XX) 15 Partial differential equations (35-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Number theory (11-XX) 7 Mechanics of particles and systems (70-XX) 6 Commutative algebra (13-XX) 5 Combinatorics (05-XX) 5 Abstract harmonic analysis (43-XX) 3 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 General topology (54-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX)