Banach Cyclic (Co)Homology and the Connes-Tzygan Exact Sequence

DOI10.1112/jlms/s2-46.3.449zbMath0816.46076OpenAlexW2011544589MaRDI QIDQ4290925

Alexander Ya. Helemskii

Publication date: 16 July 1995

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-46.3.449

zbMATH Keywords

Banach algebracohomologyhomologyBanach cyclic (co)homologyConnes-Tzygan exact sequence

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of topological algebras (46H05) Other homology theories in algebraic topology (55N35)

Related Items (11)

Morita equivalence for Banach algebras ⋮ The cyclic and simplicial cohomology of $l^1(\mathbf{N})$ ⋮ On the homology theory of operator algebras ⋮ Vanishing of the third simplicial cohomology group of $l^1(\mathbf {Z}_+)$ ⋮ The cyclic and simplicial cohomology of the Cuntz semigroup algebra ⋮ Cyclic cohomology of Banach algebras of quivers and their inverse semigroups ⋮ Unnamed Item ⋮ Cyclic cohomology of certain nuclear Fréchet algebras and \(DF\) algebras ⋮ Excision in Banach simplicial and cyclic cohomology ⋮ Simplicial (Co)-homology of ⋮ Excision theory in the dihedral and reflexive (co)homology of algebras

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