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Hochschild Cohomology of II_1 Factors with Cartan Masas

Jan Cameron
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Abstract

In this paper we prove that for a type II_1 factor N with a Cartan maximal abelian subalgebra (masa), the Hochschild cohomology groups H^n(N,N)=0, for all n \geq 1. This generalizes the result of Sinclair and Smith, who proved this for all N having separable predual.

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Jan Cameron. 2007-01-04. Hochschild Cohomology of II_1 Factors with Cartan Masas. https://arxiv.org/abs/math/0701147

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