Hochschild Cohomology of II_1 Factors with Cartan Masas

Details Hochschild Cohomology of II_1 Factors with Cartan Masas Hochschild Cohomology of II_1 Factors with Cartan Masas

2007-01-04

arxiv.org/abs/math/0701147v1

Mathematics

Operator Algebras

10 pages

Scientific paper

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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