Vanishing of Second Cohomology for Tensor Products of Type Ii1 Von Neumann Algebras
نویسندگان
چکیده
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 .
منابع مشابه
The hochschild cohomology problem for von neumann algebras.
In 1967, when Kadison and Ringrose began the development of continuous cohomology theory for operator algebras, they conjectured that the cohomology groups Hn(M, M), n >/= 1, for a von Neumann algebra M, should all be zero. This conjecture, which has important structural implications for von Neumann algebras, has been solved affirmatively in the type I, IIinfinity, and III cases, leaving open o...
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تاریخ انتشار 2009