Hochschild cohomology of factors with property Gamma Academic Article uri icon


  • 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


author list (cited authors)

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

citation count

  • 10

complete list of authors

  • Christensen, E||Pop, F||Sinclair, AM||Smith, RR

publication date

  • September 2003