Excision in Banach simplicial and cyclic cohomology

DOI10.1017/S0013091500019751zbMath0942.46041arXivmath/9606212OpenAlexW1973959334MaRDI QIDQ4400094

Zinaida A. Lykova

Publication date: 6 February 2000

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

Full work available at URL: https://arxiv.org/abs/math/9606212

zbMATH Keywords

excision propertysimplicial cohomologyextension of \(C^*\)-algebrasextension of Banach algebrassimplicial and cyclic cohomology

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) (K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) (K)-theory and homology; cyclic homology and cohomology (19D55) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18)

Related Items (2)

Cyclic-type cohomology of strict inductive limits of Fréchet algebras ⋮ The cyclic and simplicial cohomology of the Cuntz semigroup algebra

Cites Work

• Unnamed Item
• Excision in cyclic homology and in rational algebraic K-theory
• All nuclear C*-algebras are amenable
• Non-commutative differential geometry
• Finite sums of commutators in \(C^*\)-algebras
• Amenability of Banach algebras of compact operators
• On the vanishing of \(H^ n(\mathcal A,\mathcal A^*)\) for certain \(C^*\)- algebras
• Morita equivalence for Banach algebras
• Left approximate identities in algebras of compact operators on Banach spaces
• Banach Cyclic (Co)Homology and the Connes-Tzygan Exact Sequence
• Approximate Diagonals and Cohomology of Certain Annihilator Banach Algebras
• Commutators of Operators

This page was built for publication: Excision in Banach simplicial and cyclic cohomology