Property gamma factors and the Hochschild cohomology problem.

abstract

• The main result of this article is that the kth continuous Hochschild cohomology groups H(k)(M,M ) and H(k)(M, B(H)) of a von Neumann factor subset, dbl equals B(H) of type II(1) with property Gamma are 0 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 parallel. parallel (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.

authors

• Smith, Roger

published proceedings

• Proc Natl Acad Sci U S A

author list (cited authors)

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

citation count

• 0

complete list of authors

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

publication date

• April 2003

publisher

• Proceedings of the National Academy of Sciences  Publisher

published in

• Proceedings of the National Academy of Sciences of the United States of America  Journal

keywords

• 1103 Clinical Sciences

PubMed Central ID

• 12646698

Digital Object Identifier (DOI)

• 10.1073/pnas.0737489100

URI

• https://hdl.handle.net/1969.1/181634

start page

• 3865

end page

• 3869

volume

• 100

issue

• 7

URL

• http%3A%2F%2Fdx.doi.org%2F10.1073%2Fpnas.0737489100