Hochschild cohomology of factors with property
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The main result of this paper is that the kth continuous Hochschild cohomology groups Hk(M, M) and Hk(M, B(H)) of a von Neumann factor M B(H) of type II1 with property are zero for all positive integers k. The method of proof involves the construction of hyperfinite subfactors with special properties and a new inequality of Grothendieck type for multilinear maps. We prove joint continuity in the || ||2-norm of separately ultraweakly continuous multilinear maps, and combine these results to reduce to the case of completely bounded cohomology which is already solved.
author list (cited authors)
Christensen, E., Pop, F., Sinclair, A., & Smith, R.
complete list of authors
Christensen, Erik||Pop, Florin||Sinclair, Allan||Smith, Roger