Property factors and the Hochschild cohomology problem
نویسندگان
چکیده
منابع مشابه
Property Γ Factors and the Hochschild Cohomology Problem
The main result of this paper is that the k continuous Hochschild cohomology groups H(M,M) and H(M, B(H)) of a von Neumann factor M ⊆ B(H) of type II1 with property Γ 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...
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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 Γ 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...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 2003
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.0737489100