AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Cyclic Cohomology at 40: Achievements and Future Prospects
About this Title
A. Connes, Collège de France, Paris, France, C. Consani, Johns Hopkins University, Baltimore, MD, B. I. Dundas, University of Bergen, Bergen, Norway, M. Khalkhali, Western University, London, ON, Canada and H. Moscovici, The Ohio State University, Columbus, OH, Editors
Publication: Proceedings of Symposia in Pure Mathematics
Publication Year:
2023; Volume 105
ISBNs: 978-1-4704-6977-1 (print); 978-1-4704-7263-4 (online)
DOI: https://doi.org/10.1090/pspum/105
ReadershipTable of Contents
Download chapters as PDF
Front/Back Matter
Articles
- Alexandre Baldare, Moulay Benameur and Victor Nistor – Chern-Connes-Karoubi character isomorphisms and algebras of symbols of pseudodifferential operators
- Jonathan Block, Nigel Higson and Jesus Sanchez, Jr – On Perrot’s index cocycles
- P. Carrillo Rouse – The Chern-Baum Connes assembly map for Lie groupoids
- Alain Connes and Caterina Consani – Hochschild homology, trace map and $\zeta$-cycles
- Alain Connes and Caterina Consani – Cyclic theory and the pericyclic category
- Joachim Cuntz – The image of Bott peridocity in cyclic homology
- Bjørn Dundas – Applications of topological cyclic homology to algebraic $K$-theory
- David Gepner – Algebraic $K$-theory and generalized stable homotopy theory
- Alexander Gorokhovsky and Erik van Erp – Cyclic cohomology and the extended Heisenberg calculus of Epstein and Melrose
- Lars Hesselholt – Topological cyclic homology and the Fargues-Fontaine curve
- Masoud Khalkhali and Ilya Shapiro – Hopf cyclic cohomology and beyond
- Matthew Lorentz – The Hochschild cohomology of uniform Roe algebras
- E. McDonald, F. Sukochev and X. Xiong – Quantum differntiability–The analytical perspective
- Ralf Meyer and Devarshi Mukherjee – Local cyclic homology for nonarchimedean Banach algebras
- Henri Moscovici – On the van Est analogy in Hopf cyclic cohomology
- Paolo Piazza and Xiang Tang – Primary and secondary invariants of Dirac operators on $G$-proper manifolds
- Markus Pflaum – Localization in Hochschild homology
- Raphaël Ponge – Cyclic homology and group actions
- Emil Prodan – Cyclic cocycles and quantized pairings in materials science
- Michael Puschnigg – Periodic cyclic homology of crossed products
- Anton Savin and Elmar Schrohe – Trace expansions and equivariant traces on an algebra of Fourier integral operators on $\mathbb {R}^n$
- Yanli Song and Xiang Tang – Carton motion group and orbital integrals
- Boris Tsygan – On noncommutative crystalline cohomology
- Teun van Nuland and Walter van Suijlekom – Cyclic cocycles and one-loop corrections in the spectral action
- Jinmin Wang, Zhizhang Xie and Guoliang Yu – $\ell ^1$-higher index, $\ell ^1$-higher rho invariant and cyclic cohomology