Explicit computations of all finite index bimodules for a family of II_1 factors
| dc.creator | Vaes, Stefaan | |
| dc.date | 2007-07-10 | |
| dc.date | 2008-02-11 | |
| dc.date.accessioned | 2026-07-07T12:31:20Z | |
| dc.date.available | 2026-07-07T12:31:20Z | |
| dc.description | We study II_1 factors M and N associated with good generalized Bernoulli actions of groups having an infinite almost normal subgroup with the relative property (T). We prove the following rigidity result: every finite index M-N-bimodule (in particular, every isomorphism between M and N) is described by a commensurability of the groups involved and a commensurability of their actions. The fusion algebra of finite index M-M-bimodules is identified with an extended Hecke fusion algebra, providing the first explicit computations of the fusion algebra of a II_1 factor. We obtain in particular explicit examples of II_1 factors with trivial fusion algebra, i.e. only having trivial finite index subfactors. | |
| dc.description | Minor modifications, final version | |
| dc.identifier | https://arxiv.org/abs/0707.1458 | |
| dc.identifier | http://arxiv.org/abs/0707.1458 | |
| dc.identifier | Annales Scientifiques de l'Ecole Normale Superieure, 41 (2008), 743-788. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216410 | |
| dc.subject | Operator Algebras | |
| dc.title | Explicit computations of all finite index bimodules for a family of II_1 factors | |
| dc.type | text |