%0 Journal Article %T Vanishing of second cohomology for tensor products of typeII$_1$ von Neumann algebras %A Florin Pop %A Roger R. Smith %J Mathematics %D 2009 %I arXiv %X 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 $N$. %U http://arxiv.org/abs/0907.3244v1