Fredholm modules over categories, Connes periodicity and classes in cyclic cohomology

DOI10.5802/crmath.429OpenAlexW3164040875MaRDI QIDQ2687973

Mamta Balodi, Abhishek Banerjee

Publication date: 7 March 2023

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.11736

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Global differential geometry (53C99) Noncommutative geometry (à la Connes) (58B34) Preadditive, additive categories (18E05) Hopf algebras and their applications (16T05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized coefficients for Hopf cyclic cohomology.
• Cartesian modules over representations of small categories
• Idempotent splittings, colimit completion, and weak aspects of the theory of monads
• Hochschild-Mitchell cohomology and Galois extensions.
• The universal Hopf-cyclic theory.
• Products in Hopf-cyclic cohomology.
• On the cohomology rings of small categories
• Hochschild and ordinary cohomology rings of small categories
• Cup products in Hopf cyclic cohomology via cyclic modules.
• Non-commutative differential geometry
• Hopf algebras, cyclic cohomology and the transverse index theorem
• Cyclic cohomology and Hopf algebras
• The cyclic homology of an exact category
• Higher-dimensional algebra. II: 2-Hilbert spaces
• Brauer groups, Hopf algebras and Galois theory
• A categorical approach to cyclic cohomology of quasi-Hopf algebras and Hopf algebroids
• Cup products in Hopf-cyclic cohomology.
• Stable anti-Yetter-Drinfeld modules.
• Hopf-cyclic homology and cohomology with coefficients.
• Entwined modules over linear categories and Galois extensions
• Bicommutant categories from fusion categories
• Galois coverings, Morita equivalence and smash extensions of categories over a field.
• Rings with several objects
• Bialgebra cyclic homology with coefficients.
• Deformation theory of abelian categories
• Bivariant Hopf Cyclic Cohomology
• Some applications of module theory to functor categories
• Deriving DG categories
• Hopf algebra equivariant cyclic homology and cyclic homology of crossed product algebras
• What Chern–Simons theory assigns to a point
• Cohomology of Modules Over -categories and Co--categories
• On Differential Torsion Theories and Rings with Several Objects
• Hochschild Cohomology with Support
• Au-dessous de Specℤ
• Monoidal Categories, 2-Traces, and Cyclic Cohomology
• $K$-théorie algébrique et $K$-théorie topologique I.
• The Dominion of Isbell

This page was built for publication: Fredholm modules over categories, Connes periodicity and classes in cyclic cohomology