Cohomology of operator algebras. II: Extended cobounding and the hyperfinite case

DOI10.1007/BF02383637zbMath0214.38402OpenAlexW2061994268MaRDI QIDQ2545435

Richard V. Kadison, John R. Ringrose

Publication date: 1971

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02383637

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20)

Related Items (23)

Completely bounded multilinear maps and \(C^ *\)-algebraic cohomology ⋮ Cohomology for operator algebras: The Mayer-Vietoris sequence ⋮ Smooth cohomology of $ C^* $-algebras ⋮ Cohomology of operator algebras. III : reduction to normal cohomology ⋮ Axiomatic cohomology of operator algebras ⋮ On some problems studied by R. V. Kadison ⋮ SMOOTH BIMODULES AND COHOMOLOGY OF II₁ FACTORS ⋮ Foundations of an equivariant cohomology theory for Banach algebras. II ⋮ Amenability for twisted covariance algebras and group \(C^*\)-algebras ⋮ Unnamed Item ⋮ Vanishing of second cohomology for tensor products of type \(II_{1}\) von Neumann algebras ⋮ The Hochschild cohomology problem for von Neumann algebras ⋮ A class of II\(_1\) factors without property P but with zero second cohomology ⋮ Approximately vanishing of topological cohomology groups ⋮ Hochschild cohomology and perturbations of Banach algebras ⋮ Generators of semigroups of completely positive maps ⋮ Property Γ factors and the Hochschild cohomology problem ⋮ On the cohomology of operator algebras ⋮ Local derivations ⋮ Simple injective subfactors ⋮ Norming \(C^*\)-algebras by \(C^*\)-subalgebras ⋮ Local 2-cocycles. ⋮ Derivations, Homomorphisms, and Operator Ideals

Cites Work

• Unitary invariants for representations of operator algebras
• Transformations of states in operator theory and dynamics
• Derivations of operator algebras
• Tomita's theory of modular Hilbert algebras and its applications
• Cohomology of operator algebras. I: Type I von Neumann algebras
• Two finite, non‐hyperfinite, non‐isomorphic factors

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