Ryszard Nest
Professor, emeritus
Department of Mathematical Sciences
Universitetsparken 5
2100 København Ø
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Deformation quantisation of gerbes
Tsygan, B., Nest, Ryszard, Bressler, P. & Gorokhovsky, A., 2007, In: Advances in Mathematics. 214, 1, p. 230-266Research output: Contribution to journal › Journal article › Research › peer-review
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Localisation of pair charge states in a superconducting weak link constriction ring
Prance, R. J., Clark, T. D., Mutton, J. E., Prance, H., Spiller, T. P. & Nest, Ryszard, 21 Jan 1985, In: Physics Letters A. 107, 3, p. 133-138 6 p.Research output: Contribution to journal › Journal article › Research › peer-review
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Quantum mechanical flux band dynamics of a superconducting weak link constriction ring
Prance, H., Spiller, T. P., Mutton, J. E., Prance, R. J., Clark, T. D. & Nest, Ryszard, 31 Mar 1986, In: Physics Letters A. 115, 3, p. 125-131 7 p.Research output: Contribution to journal › Journal article › Research › peer-review
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Charge band behaviour in a superconducting weak link driven by a normal Faraday law voltage source
Prance, H., Prance, R. J., Spiller, T. P., Mutton, J. E., Clark, T. C. & Nest, Ryszard, 9 Sep 1985, In: Physics Letters A. 111, 4, p. 199-204 6 p.Research output: Contribution to journal › Journal article › Research › peer-review
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Algebraic index theorem for families
Nest, Ryszard & Tsygan, B., Jul 1995, In: Advances in Mathematics. 113, 2, p. 151-205 55 p.Research output: Contribution to journal › Journal article › Research › peer-review
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Formal deformations of symplectic manifolds with boundary
Nest, Ryszard & Tsygan, B., 1 Dec 1996, In: Journal fur die Reine und Angewandte Mathematik. 481, p. 27-54 28 p.Research output: Contribution to journal › Journal article › Research › peer-review
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Equivariant Poincaré duality for quantum group actions.
Nest, Ryszard & Voigt, C., 2010, In: Journal of Functional Analysis. 258, 5, p. 1466-1503 37 p.Research output: Contribution to journal › Journal article › Research › peer-review
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Cyclic cohomology of crossed products with Z
Nest, Ryszard, Oct 1988, In: Journal of Functional Analysis. 80, 2, p. 235-283 49 p.Research output: Contribution to journal › Review › Research › peer-review
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Deformations of symplectic Lie algebroids, deformations of holomorphic symplectic structures, and index theorems
Nest, Ryszard & Tsygan, B., 2001, In: Asian Journal of Mathematics. 5, 4Research output: Contribution to journal › Journal article › Research › peer-review
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Riemann-Roch theorems for D-modules via deformation quantization, II
Nest, Ryszard, Bressler, P. & Tsygan, B., 2002, In: Advances in Mathematics. 17, p. 1-25Research output: Contribution to journal › Journal article › Research › peer-review
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An analogue of the Baum-Connes isomorphism for coactions of compact groups
Nest, Ryszard & Meyer, R., 2007, In: Mathematica Scandinavica. 100, 2, p. 301-316Research output: Contribution to journal › Journal article › Research › peer-review
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C*-algebras over topological spaces: the bootstrap class
Nest, Ryszard & Meyer, R., 2009, In: Mu¨nster journal of mathematics. 2, p. 215-252Research output: Contribution to journal › Journal article › Research › peer-review
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On spectral triples in quantum gravity: II
Nest, Ryszard, Aastrup, J. & Grimstrup, J. M., 2009, In: Classical and Quantum Gravity. 26, 6Research output: Contribution to journal › Journal article › Research › peer-review
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Local formula for the index of a Fourier Integral Operator
Nest, Ryszard, Leichtman, E. & Tsygan, B., 2002, In: Journal of Differential Geometry. 59, p. 269-300Research output: Contribution to journal › Journal article › Research › peer-review
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The structure of the Brauer group and crossed products of C0(X)-linear group actions on C0(X,K)
Nest, Ryszard & Echterhoff, S., 2002, In: Transactions of the American Mathematical Society. 353, p. 3685-3712Research output: Contribution to journal › Journal article › Research › peer-review
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Formal deformations of symplectic Lile ALgbroids, deformations of holomorphic structures and index theorems
Nest, Ryszard & Tsygan, B., 2002, In: Asian Journal of Mathematics. 6, 5, p. 599-633Research output: Contribution to journal › Journal article › Research › peer-review
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Algebraic index theorem
Nest, Ryszard & Tsygan, B., 1 Sep 1995, In: Communications in Mathematical Physics. 172, 2, p. 223-262 40 p.Research output: Contribution to journal › Journal article › Research › peer-review
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Holonomy Loops, Spectral Triples& Quantum Gravity
Nest, Ryszard, Grimstrup, J. M. & Aastrup, J., 2009, In: Classical and Quantum Gravity. 26, 16Research output: Contribution to journal › Journal article › Research › peer-review
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The Baum-Connes conjecture via localisation of categories
Nest, Ryszard & Meyer, R., 2006, In: Topology. 45, 2Research output: Contribution to journal › Journal article › Research › peer-review
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Dixmier's trace for boundary value problems
Nest, Ryszard & Schrohe, E., Jun 1998, In: Manuscripta Mathematica. 96, 2, p. 203-218 16 p.Research output: Contribution to journal › Journal article › Research › peer-review
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A continuous field of C*-algebras and the tangent groupoid for manifolds with boundary.
Nest, Ryszard, Aastrup, J. & Schrohe, E., 2006, In: Journal of Functional Analysis. 2Research output: Contribution to journal › Journal article › Research › peer-review
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Fibrations with noncommutative fibers
Nest, Ryszard, Oyono Oyono, H. & Echterhoff, S., 2009, In: Journal of Noncommutative Geometry. 3, 3Research output: Contribution to journal › Journal article › Research › peer-review
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Index Theory for Boundary Value Problems via Continuous Fields of C*-algebras
Nest, Ryszard, Schrohe, E. & Aastrup, J., 2009, In: Journal of Functional Analysis. 257, 8Research output: Contribution to journal › Journal article › Research › peer-review
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Deformations of Azumaya algebras
Nest, Ryszard, Bressler, P., Gorokhovsky, A. & Tsygan, B., 2008, Actas del XVI Coloquio Latinoamericano de Algebra.Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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An analogue of Serre fibrations for C*-algebra bundles
Nest, Ryszard, Echterhoff, S. & Oyono-Oyono, H., 2009, In: Adv. Stud. Pure Math. 55, p. 209--221Research output: Contribution to journal › Journal article › Research › peer-review
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Formal Versus Analytic Index Theorems
Nest, Ryszard & Tsygan, B., 1 Dec 1996, In: International Mathematics Research Notices. 11, p. 556-564 9 p.Research output: Contribution to journal › Journal article › Research › peer-review
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Strict quantizations of symplectic manifolds
Natsume, T., Nest, Ryszard & Peter, I., 1 Oct 2003, In: Letters in Mathematical Physics. 66, 1-2, p. 73-89 17 p.Research output: Contribution to journal › Journal article › Research › peer-review
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Topological approach to quantum surfaces
Natsume, T. & Nest, Ryszard, 1 Jan 1999, In: Communications in Mathematical Physics. 202, 1, p. 65-87 23 p.Research output: Contribution to journal › Journal article › Research › peer-review
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The local structure of the cyclic cohomology of heisenberg lie groups
Natsume, T. & Nest, Ryszard, 1 Feb 1994, In: Journal of Functional Analysis. 119, 2, p. 481-498 18 p.Research output: Contribution to journal › Journal article › Research › peer-review
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Homological algebra in bivariant K-theory and other triangulated categories I
Meyer, R. & Nest, Ryszard, 2010, In: London Mathematical Society Lecture Notes. 375, p. 236-289Research output: Contribution to journal › Journal article › Research › peer-review
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C*-algebras over topological spaces: filtrated K-theory
Meyer, R. & Nest, Ryszard, 2012, In: Canadian Journal of Mathematics - Journal Canadien de Mathématiques. 64, 2, p. 368-408Research output: Contribution to journal › Journal article › Research › peer-review
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C*-structure and K-theory of Boutet de Monvel's algebra
Melo, S. T., Nest, Ryszard & Schrohe, E., 1 Jan 2003, In: Journal fur die Reine und Angewandte Mathematik. 561, p. 145-175 31 p.Research output: Contribution to journal › Journal article › Research › peer-review
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Finiteness of metrics on state spaces
Kyed, D. & Nest, Ryszard, 2024, In: Bulletin of the London Mathematical Society. 56, 1, p. 288-295Research output: Contribution to journal › Journal article › Research › peer-review
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A transformation rule for the index of commuting operators
Kaad, J. & Nest, Ryszard, 2015, In: Journal of Noncommutative Geometry. 9, 1, p. 83-119Research output: Contribution to journal › Journal article › Research › peer-review
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Canonical holomorphic sections of determinant line bundles
Kaad, J. & Nest, Ryszard, 2019, In: Journal fur die Reine und Angewandte Mathematik. 746, p. 67-116Research output: Contribution to journal › Journal article › Research › peer-review
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KK -theory and spectral flow in von Neumann algebras
Kaad, J., Nest, Ryszard & Rennie, A., 2012, In: Journal of K-Theory. 10, 2, p. 241-277Research output: Contribution to journal › Journal article › Research › peer-review
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Tate tame symbol and the joint torsion of commuting operators
Kaad, J. & Nest, Ryszard, 2020, In: Annals of K-Theory. 5, 2, p. 181-211Research output: Contribution to journal › Journal article › Research › peer-review
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Holonomy loops, spectral triples and quantum gravity
Johannes , A., Grimstrup, J. M. & Nest, Ryszard, 27 Jul 2009, In: Classical and Quantum Gravity. p. 165001Research output: Contribution to journal › Journal article › Research › peer-review
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Topological field theories from quantum 6j-symbols
Jakobsen, Hans Plesner, Durhuus, Bergfinnur & Nest, Ryszard, 1992, Topological and Geometrical Methods in Field Theory, Turku 1992. Singapore: World Scientific, p. 121-134Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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The K-theory of twisted multipullback quantum odd spheres and complex projective spaces
Hajac, P. M., Nest, Ryszard, Pask, D., Sims, A. & Zielinski, B., 2018, In: Journal of Noncommutative Geometry. 12, 3, p. 823-863 41 p.Research output: Contribution to journal › Journal article › Research › peer-review
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Equivariant Algebraic Index Theorem
Gorokhovsky, A., De Kleijn, N. & Nest, Ryszard, 2021, In: Journal of the Institute of Mathematics of Jussieu. 20, 3, p. 929–955 27 p.Research output: Contribution to journal › Journal article › Research › peer-review
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Exotic cyclic cohomology classes and Lipschitz algebras
Goffeng, M. & Nest, Ryszard, 2023, In: Annals of K-Theory. 8, 2, p. 221-243 23 p.Research output: Contribution to journal › Journal article › Research › peer-review
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Uniqueness of the momentum map
Esposito, C. & Nest, Ryszard, Aug 2016, In: Journal of Geometry and Physics. 106, p. 342-351Research output: Contribution to journal › Journal article › Research › peer-review
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Irreducible inclusions of factors, multiplicative unitaries, and Kac algebras
Enock, M. & Nest, Ryszard, 1 May 1996, In: Journal of Functional Analysis. 137, 2, p. 466-543 78 p.Research output: Contribution to journal › Journal article › Research › peer-review
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The Atiyah-Singer index theorem as passage to the classical limit in quantum mechanis
Elliott, G. A., Natsume, T. & Nest, Ryszard, 1997, In: Communications in Mathematical Physics. 182, p. 505-533Research output: Contribution to journal › Journal article › Research › peer-review
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The Atiyah-Singer index theorem as passage to the classical limit in quantum mechanics
Elliott, G. A., Natsume, T. & Nest, Ryszard, 1997, In: Communications in Mathematical Physics. 182, p. 505-533Research output: Contribution to journal › Journal article › Research › peer-review
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The cyclic homology of algebras with adjoined unit
Elliott, G. A., Nest, Ryszard & Rørdam, M., 1991, In: Proceedings of the American Mathematical Society. 113, p. 389-395Research output: Contribution to journal › Journal article › Research › peer-review
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The Heisenberg group and K-theory
Elliott, G. A., Natsume, T. & Nest, Ryszard, 1993, In: K - Theory. 7, p. 409-428Research output: Contribution to journal › Journal article › Research › peer-review
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Cyclic cohomology for one-parameter smooth crossed products
Elliott, G. A., Natsume, T. & Nest, Ryszard, 1 Dec 1988, In: Acta Mathematica. 160, 1, p. 285-305 21 p.Research output: Contribution to journal › Journal article › Research › peer-review
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The Orbit Method for the Baum-Connes Conjecture for Algebraic Groups over Local Function Fields
Echterhoff, S., Li, K. & Nest, Ryszard, 2018, In: Journal of Lie Theory. 28, 2, p. 323-341Research output: Contribution to journal › Journal article › Research › peer-review
ID: 12801
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Canonical holomorphic sections of determinant line bundles
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Quantisation of Hamiltonian coactions via twist
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Tate tame symbol and the joint torsion of commuting operators
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