Hochschild Cohomology of II_1 Factors with Cartan Masas

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.

10 pages

References in corpus (1)

• Strong Singularity of Singular Masas in II_1 Factors