Cyclic cohomology at 40 : achievements and future prospects / A. Connes, C. Consani, B.I. Dundas, M. Khalkhali, and H. Moscovici, editors.

Author
Virtual Conference on Cyclic Cohomology at 40 (2021 : Fields Institute for Research in Mathematical Sciences, Toronto (Ont.)) [Browse]
Format
Book
Language
English
Published/​Created
  • Providence, Rhode Island : American Mathematical Society, [2023]
  • ©2023
Description
x, 579 pages : illustrations ; 26 cm.

Details

Subject(s)
Editor
Library of Congress genre(s)
Series
Notes
"Virtual conference, Cyclic Cohomology at 40: Achievements and Future Prospects, September 27-October 1, 2021, Fields Institute for Research in Mathematical Sciences, Toronto, ON Canada."
Bibliographic references
Includes bibliographical references.
Contents
  • Preface
  • Chern-Connes-Karoubi character ismorphisms and algebras of symbols pseudodifferential operators / A. Baldare, M. Benameur, and V. Nistor
  • One Perrot's index cocycles / J. Block, H. Higson, and J. Sanchez Jr.
  • The Chern-Baum-Connes assembly map for Lie groupoids / P. Carrillo Rouse --Hochschild homology, trace map 9-cycles / A. Connes and C. Consani --Cyclic theory and the pericyclic category / A. Connes and C. Consani
  • The image of Bott periodicity in cyclic homology / J. Cuntz
  • Applications of topological cycle homology to algebraic K-theory / B. I. Dundas --Algebraic K-theory and generalized stable homotopy theory / D. Gepner --Cyclic cohomology and the extended Heisenberg calculus of Epstein and Melrose / A. Gorokhovsky and E. Van Erp
  • Topological cyclic homology and the Fargues-Fontaine curve / L. Hesselholt
  • Hopf cyclic cohomology and beyond / M. Khalkhali and I. Shapiro
  • The Hochschild cohomology of uniform Roe algebras / M Lorentz --Quantum differentiabiltiy - the analytical perspective / E. McDonald, F. Sukochev, and X. Xiong
  • Local cyclic homology for nonarchimedean Banach Algebras / R. Meyer and D. Mukherjee
  • On the van Est analogy in Hopf cyclic cohomology / H. Moscovici
  • Primary and secondary invariants of Dirac operators on G-proper manifolds / P. Piazza and X. Tang --Localization in Hochschild homology / M. J. Pflaum
  • Cyclic homology and group actions / R. Ponge
  • Cyclic cocycles and quantized pairings in materials science / E. Prodan
  • Periodic cyclic homology of crossed Products / M. Puschnigg
  • Trace expansions and equivariant trances on an algebra of Fourier integral operators on Rn / A. Savin and E. Schrohe
  • Cartan motion group and orbital integrals / Y. Song and X. Tang
  • On noncommutative crystalline cohomology / B. Tsygan --Cyclic cocycles and one-loop corrections in the spectral action / T.D. H. Nuland and and W.D. Van Suijlekom
  • l1-higher index, l1-higher rho invariant and cyclic cohomology / J. Wang, Z. Xie, and G. Yu.
ISBN
  • 9781470469771
  • 1470469774
OCLC
1373695234
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