期刊名称:Proceedings of the National Academy of Sciences
印刷版ISSN:0027-8424
电子版ISSN:1091-6490
出版年度:2003
卷号:100
期号:7
页码:3865-3869
DOI:10.1073/pnas.0737489100
语种:English
出版社:The National Academy of Sciences of the United States of America
摘要:The main result of this article is that the kth continuous Hochschild cohomology groups Hk([M], [M]) and Hk([M], B(H)) of a von Neumann factor [M] {subseteq} B(H) of type II1 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 ||*||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.