Cohomology of operator algebras. I: Type I von Neumann algebras

DOI10.1007/BF02392032zbMath0209.44501OpenAlexW3081476777MaRDI QIDQ2543879

John R. Ringrose, Richard V. Kadison

Publication date: 1971

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02392032

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) General theory of (C^*)-algebras (46L05)

Related Items (32)

The commutant modulo the set of compact operators of a von Neumann algebra ⋮ Completely bounded multilinear maps and \(C^ *\)-algebraic cohomology ⋮ Quasi-Expectations and Amenable von Neumann Algebras ⋮ Amenability and virtual diagonals for von Neumann algebras ⋮ 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 ⋮ LOCAL PROPERTIES OF THE HOCHSCHILD COHOMOLOGY OF C^*-ALGEBRAS ⋮ A note on derivations of Murray–von Neumann algebras ⋮ 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 ⋮ On some decomposition properties for factors of type \(\text{II}_1\) ⋮ Unnamed Item ⋮ Local 3-cocycles of von Neumann algebras ⋮ Vanishing of second cohomology for tensor products of type \(II_{1}\) von Neumann algebras ⋮ The Hochschild cohomology problem for von Neumann algebras ⋮ DERIVATIONS ON ALGEBRAS OF MEASURABLE OPERATORS ⋮ Projective homological classification of c^∗-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 ⋮ Property Γ factors and the Hochschild cohomology problem ⋮ On the cohomology of operator algebras ⋮ Structure of derivations on various algebras of measurable operators for type I von Neumann algebras ⋮ Local derivations ⋮ Derivations from subalgebras of operator algebras: Results and problems old and new ⋮ Homology and cohomology for topological algebras ⋮ Cohomology of operator algebras. II: Extended cobounding and the hyperfinite case ⋮ Norming \(C^*\)-algebras by \(C^*\)-subalgebras ⋮ Local 2-cocycles.

Cites Work

• Amenable semigroups
• Derivations of operator algebras
• Derivations of \(W^ *\)-algebras
• Cohomology and representations of associative algebras
• On the cohomology groups of an associative algebra
• On the cohomology theory for associative algebras
• Derivations of Operator Algebras and Discrete Group Algebras
• Cohomology in Banach algebras
• Cohomology Groups of Commutative Banach Algebras
• Unnamed Item
• Unnamed Item

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