Cyclic cohomology of crossed products with \({\mathbb{Z}}\)

DOI10.1016/0022-1236(88)90001-8zbMath0658.46054OpenAlexW2064663329MaRDI QIDQ1111137

Ryszard Nest

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90001-8

zbMATH Keywords

Hochschild cohomologyspectral sequenceFréchet algebracyclic cohomology of the smooth crossed productexactness of the long cohomology sequencePismner-Voiculescu six-term exact sequence of K- theory

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Spectral sequences in algebraic topology (55T99)

Related Items

T-duality simplifies bulk-boundary correspondence, Cyclic cohomology for one-parameter smooth crossed products, Connes-Landi deformation of spectral triples, Cyclic homology and group actions, Aspects of noncommutative geometry of Bunce-Deddens algebras, EDGE CURRENT CHANNELS AND CHERN NUMBERS IN THE INTEGER QUANTUM HALL EFFECT, Group cohomology and the cyclic cohomology of crossed products, The periodic cyclic homology of crossed products of finite type algebras, T-duality simplifies bulk-boundary correspondence: some higher dimensional cases, Smooth crossed product of minimal unique ergodic diffeomorphisms of a manifold and cyclic cohomology, Cyclic homology of the algebraic crossed product and groups of surfaces, Cyclic cohomology of crossed products by algebraic groups

Cites Work

• A Bott periodicity map for crossed products of C *-algebras by discrete groups
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