Ryszard Nest

Ryszard Nest

Professor, emeritus

ORCID: 0000-0002-6477-6153

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  1. Published

    An analogue of the Baum-Connes isomorphism for coactions of compact groups

    Nest, Ryszard & Meyer, R., 2007, In: Mathematica Scandinavica. 100, 2, p. 301-316

    Research output: Contribution to journal › Journal article › Research › peer-review

  2. Published

    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--221

    Research output: Contribution to journal › Journal article › Research › peer-review

  3. Published

    On spectral triples in quantum gravity: II

    Nest, Ryszard, Aastrup, J. & Grimstrup, J. M., 2009, In: Classical and Quantum Gravity. 26, 6

    Research output: Contribution to journal › Journal article › Research › peer-review

  4. Published

    A Riemann-Roch Type Formula for the Microlocal Euler Class

    Bressler, P., Nest, Ryszard & Tsygan, B., 1 Dec 1997, In: International Mathematics Research Notices. 20, p. 1032-1043 12 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  5. Published

    A construction of topological quantum field theories from 6j-symbols

    Durhuus, Bergfinnur, Jakobsen, Hans Plesner & Nest, Ryszard, 1992, In: Nuclear physics B, Proceedings supplements. 25A, p. 109-121

    Research output: Contribution to journal › Journal article › Research › peer-review

  6. Published

    A construction of topological quantum fieldtheories from 6J-symbols

    Durhuus, Bergfinnur, Jakobsen, Hans Plesner & Nest, Ryszard, Jan 1992, In: Nuclear Physics B (Proceedings Supplements). 25, PART 1, p. 109-121 13 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  7. Published

    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. 2

    Research output: Contribution to journal › Journal article › Research › peer-review

  8. Published

    A new spectral triple over a space of connections

    Aastrup, J., Grimstrup, J. M. & Nest, Ryszard, 2009, In: Communications in Mathematical Physics. 290, 1, p. 389-398 9 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  9. Published

    A transformation rule for the index of commuting operators

    Kaad, J. & Nest, Ryszard, 2015, In: Journal of Noncommutative Geometry. 9, 1, p. 83-119

    Research output: Contribution to journal › Journal article › Research › peer-review

  10. Published

    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

  11. Published

    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

  12. Published

    Algebraic index theorem for symplectic deformations of gerbes

    Bressler, P., Gorokhovsky, A., Nest, Ryszard & Tsygan, B., 2011, Noncommutative Geometry and Global Analysis. Connes, A., Gorokhovsky, A., Lesch, M., Pflaum, M. & Rangipour, B. (eds.). American Mathematical Society, p. 23-38 (Contemporary Mathematics, Vol. 546).

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

  13. Published

    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. 368-408

    Research output: Contribution to journal › Journal article › Research › peer-review

  14. Published

    C*-algebras over topological spaces: the bootstrap class

    Nest, Ryszard & Meyer, R., 2009, In: Mu¨nster journal of mathematics. 2, p. 215-252

    Research output: Contribution to journal › Journal article › Research › peer-review

  15. Published

    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

  16. Published

    Canonical holomorphic sections of determinant line bundles

    Kaad, J. & Nest, Ryszard, 2019, In: Journal fur die Reine und Angewandte Mathematik. 746, p. 67-116

    Research output: Contribution to journal › Journal article › Research › peer-review

  17. Published

    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

  18. Published

    Chern character for twisted complexes

    Bressler, P., Gorokhovsky, A., Nest, Ryszard & Tsygan, B., 2008, In: Progress in Mathematics. 265

    Research output: Contribution to journal › Journal article › Research › peer-review

  19. Published

    Chern character for twisted complexes

    Bressler, P., Gorokhovsky, A., Nest, Ryszard & Tsygan, B., 1 Jan 2008, Progress in Mathematics. Springer Basel AG, p. 309-324 16 p. (Progress in Mathematics, Vol. 265).

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

  20. Published

    Comparison of spaces associated to DGLA via higher holonomy

    Bressler, P., Gorokhovsky, A., Nest, Ryszard & Tsygan, B., 2020, K-theory in Algebra, Analysis and Topology -: ICM 2018 Satellite School and Workshop K-theory Conference, Argentina, 2018 July 16–20 and July 23–27, 2018 La Plata and Buenos Aires, Argentina. American Mathematical Society, p. 1-12 (Contemporary Mathematics, Vol. 749).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  21. Published

    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

  22. Published

    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

  23. Published

    Deformation quantisation of gerbes

    Tsygan, B., Nest, Ryszard, Bressler, P. & Gorokhovsky, A., 2007, In: Advances in Mathematics. 214, 1, p. 230-266

    Research output: Contribution to journal › Journal article › Research › peer-review

  24. Published

    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

  25. Published

    Deformations of algebroid stacks

    Bressler, P., Gorokhovsky, A., Nest, Ryszard & Tsygan, B., 2011, In: Advances in Mathematics. 226, 4, p. 3013-3087

    Research output: Contribution to journal › Journal article › Research › peer-review

  26. Published

    Deformations of symplectic Lie algebroids, deformations of holomorphic symplectic structures, and index theorems

    Nest, Ryszard & Tsygan, B., 2001, In: Asian Journal of Mathematics. 5, 4

    Research output: Contribution to journal › Journal article › Research › peer-review

  27. Published

    Deligne groupoid revisited

    Bressler, P., Gorokhovsky, A., Nest, Ryszard & Tsygan, B., 2015, In: Theory and Applications of Categories. 30, p. 1001-1016

    Research output: Contribution to journal › Journal article › Research › peer-review

  28. Published

    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

  29. Published

    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

  30. Published

    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

  31. Published

    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

  32. Published

    Fibrations with noncommutative fibers

    Nest, Ryszard, Oyono Oyono, H. & Echterhoff, S., 2009, In: Journal of Noncommutative Geometry. 3, 3

    Research output: Contribution to journal › Journal article › Research › peer-review

  33. Published

    Finiteness of metrics on state spaces

    Kyed, D. & Nest, Ryszard, 2024, In: Bulletin of the London Mathematical Society. 56, 1, p. 288-295

    Research output: Contribution to journal › Journal article › Research › peer-review

  34. Published

    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

  35. Published

    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. 599-633

    Research output: Contribution to journal › Journal article › Research › peer-review

  36. Published

    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

  37. Published

    Formality theorem for gerbes

    Bressler, P., Gorokhovsky, A., Nest, Ryszard & Tsygand, B., 2015, In: Advances in Mathematics. 273, p. 215-241

    Research output: Contribution to journal › Journal article › Research › peer-review

  38. Published

    Holonomy Loops, Spectral Triples& Quantum Gravity

    Nest, Ryszard, Grimstrup, J. M. & Aastrup, J., 2009, In: Classical and Quantum Gravity. 26, 16

    Research output: Contribution to journal › Journal article › Research › peer-review

  39. Published

    Holonomy loops, spectral triples and quantum gravity

    Johannes , A., Grimstrup, J. M. & Nest, Ryszard, 27 Jul 2009, In: Classical and Quantum Gravity. p. 165001

    Research output: Contribution to journal › Journal article › Research › peer-review

  40. Published

    Homological algebra in bivariant K-theory and other triangulated categories I

    Meyer, R. & Nest, Ryszard, 2010, In: London Mathematical Society Lecture Notes. 375, p. 236-289

    Research output: Contribution to journal › Journal article › Research › peer-review

  41. Published

    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, 8

    Research output: Contribution to journal › Journal article › Research › peer-review

  42. Published

    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

  43. Published

    KK -theory and spectral flow in von Neumann algebras

    Kaad, J., Nest, Ryszard & Rennie, A., 2012, In: Journal of K-Theory. 10, 2, p. 241-277

    Research output: Contribution to journal › Journal article › Research › peer-review

  44. Published

    Local formula for the index of a Fourier Integral Operator

    Nest, Ryszard, Leichtman, E. & Tsygan, B., 2002, In: Journal of Differential Geometry. 59, p. 269-300

    Research output: Contribution to journal › Journal article › Research › peer-review

  45. Published

    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

  46. Published

    Noncommutative scalar solitons: Existence and nonexistence

    Durhuus, Bergfinnur, Jonsson, T. & Nest, Ryszard, 2001, In: Physics Letters B. 500, p. 320-325

    Research output: Contribution to journal › Journal article › Research › peer-review

  47. Published

    On Spectral Triples in Quantum Gravity I

    Aastrup, J., M. Grimstrup, J. & Nest, Ryszard, 2009, In: Journal of Noncommutative Geometry. 3, 1, p. 47-81

    Research output: Contribution to journal › Journal article › Research › peer-review

  48. Published

    On quasi-classical limits of DQ-algebroids

    Bressler, P., Gorokhovsky, A., Nest, Ryszard & Tsygan, B., Jan 2017, In: Compositio Mathematica. 153, 1, p. 41-67

    Research output: Contribution to journal › Journal article › Research › peer-review

  49. Published

    On semi-classical states of quantum gravity and noncommutative geometry

    Aastrup, J., Grimstrup, J. M., Paschke, M. & Nest, Ryszard, 2011, In: Communications in Mathematical Physics. 302, 3, p. 675-696 30 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  50. Published

    On spectral triples in quantum gravity II

    Aastrup, J., Grimstrup, J. M. & Nest, Ryszard, 2009, In: Journal of Noncommutative Geometry. 3, 1, p. 47-81

    Research output: Contribution to journal › Journal article › Research › peer-review

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