L^2-cohomology for von Neumann algebras
| dc.creator | Thom, Andreas | |
| dc.date | 2006-01-18 | |
| dc.date | 2006-03-15 | |
| dc.date.accessioned | 2026-07-07T06:59:03Z | |
| dc.date.available | 2026-07-07T06:59:03Z | |
| dc.description | We study L^2-Betti numbers for von Neumann algebras, as defined by D. Shlyakhtenko and A. Connes. We give a definition of L^2-cohomology and show how the study of the first L^2-Betti number can be related with the study of derivations with values in a bi-module of affiliated operators. We show several results about the possibility of extending derivations from sub-algebras and about uniqueness of such extensions. Along the way, we prove some results about the dimension function of modules over rings of affiliated operators which are of independent interest. | |
| dc.identifier | https://arxiv.org/abs/math/0601447 | |
| dc.identifier | http://arxiv.org/abs/math/0601447 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107606 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L10 | |
| dc.title | L^2-cohomology for von Neumann algebras | |
| dc.type | text |