Foundations of an equivariant cohomology theory for Banach algebras. II

DOI10.1006/aima.1999.1838zbMath0955.46043OpenAlexW2045124584MaRDI QIDQ1970020

Kjeld Knudsen Jensen

Publication date: 21 February 2001

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1999.1838

zbMATH Keywords

equivariant cohomology theorycrossed product algebracovariance algebraequivariant cohomology groupsBanach covariance modulestandard cohomology groups

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of topological algebras (46H05)

Related Items (2)

Unnamed Item ⋮ The second cohomology group of module extensions Banach algebras

Cites Work

• Unitary representations of group extensions. I
• All nuclear C*-algebras are amenable
• Amenability for twisted covariance algebras and group \(C^*\)-algebras
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Amenability of crossed products of \(C^*\)-algebras
• The local structure of twisted covariance algebras
• On the cohomology of operator algebras
• Excision of equivariant cyclic cohomology of topological algebras
• Equivariant entire cyclic cohomology. I: Finite groups
• On the vanishing of \(H^ n(\mathcal A,\mathcal A^*)\) for certain \(C^*\)- algebras
• Foundations of an equivariant cohomology theory of Banach algebras. I
• Covariance algebras in field theory and statistical mechanics
• Produits croises d'une \(C^ *\)-algèbre par un groupe d'automorphismes
• Cohomology of operator algebras. I: Type I von Neumann algebras
• Cohomology of operator algebras. II: Extended cobounding and the hyperfinite case
• Duality Theory for Covariant Systems
• Cohomology of operator algebras. III : reduction to normal cohomology
• Approximate Diagonals and Cohomology of Certain Annihilator Banach Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Foundations of an equivariant cohomology theory for Banach algebras. II