Vanishing of second cohomology for tensor products of typeII₁ von Neumann algebras

2009/07/18 by Florin Pop, Pop, Florin, Roger R. Smith +1
Mathematics · #46L06 #46L10 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.0907.3244

openalex publication_date 2009/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the second cohomology group H²(M⊗ N, M⊗ N) is always zero for arbitrary type II₁ von Neumann algebras M and N.

Citations

• Applications of Free Entropy to Finite von Neumann Algebras, II

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