Hochschild cohomology of factors with property Academic Article uri icon

abstract

  • 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.

published proceedings

  • Annals of Mathematics

author list (cited authors)

  • Christensen, E., Pop, F., Sinclair, A., & Smith, R.

citation count

  • 10

complete list of authors

  • Christensen, Erik||Pop, Florin||Sinclair, Allan||Smith, Roger

publication date

  • September 2003