Hochschild Cohomology of Factors with Property $Γ$
| dc.creator | Christensen, Erik | |
| dc.creator | Pop, Florin | |
| dc.creator | Sinclair, Allan | |
| dc.creator | Smith, Roger | |
| dc.date | 2001-07-10 | |
| dc.date | 2004-04-20 | |
| dc.date.accessioned | 2026-07-07T04:42:33Z | |
| dc.date.available | 2026-07-07T04:42:33Z | |
| dc.description | The main result of this paper is that the k^{\rm th} continuous Hochschild cohomology groups H^k(\cl M,\cl M) and H^k(\cl M,B(H)) of a von Neumann factor ${\cl M}\subseteq B(H) of type {\rm II}_1 with property Gamma 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 $\|\cdot\|_2$-norm of separately ultraweakly continuous multilinear maps, and combine these results to reduce to the case of completely bounded cohomology which is already solved. | |
| dc.description | 25 pages, published version | |
| dc.identifier | https://arxiv.org/abs/math/0107078 | |
| dc.identifier | http://arxiv.org/abs/math/0107078 | |
| dc.identifier | Ann. of Math. (2), vol. 158 (2003), no. 2, 635--659 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61830 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05 | |
| dc.title | Hochschild Cohomology of Factors with Property $Γ$ | |
| dc.type | text |