Vanishing of second cohomology for tensor products of typeII$_1$ von Neumann algebras

Details Vanishing of second cohomology for tensor products of typeII$_1$ von Neumann algebras Vanishing of second cohomology for tensor products of typeII$_1$ von Neumann algebras

2009-07-18

arxiv.org/abs/0907.3244v1

Mathematics

Operator Algebras

13 pages

Scientific paper

We show that the second cohomology group $H^2(M\overline\otimes N,
M\overline\otimes N)$ is always zero for arbitrary type II$_1$ von Neumann
algebras $M$ and $N$.

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