Hochschild Cohomology of Ii1 Factors with Cartan Masas
نویسنده
چکیده
In this paper we prove that for a type II1 factor N with a Cartan maximal abelian subalgebra (masa), the Hochschild cohomology groups Hn(N, N)=0, for all n ≥ 1. This generalizes the result of Sinclair and Smith, who proved this for all N having separable predual.
منابع مشابه
Structural Properties of Close Ii1 Factors
We show that a number of key structural properties transfer between sufficiently close II1 factors, including solidity, strong solidity, uniqueness of Cartan masas and property Γ. We also examine II1 factors close to tensor product factors, showing that such factors also factorise as a tensor product in a fashion close to the original.
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