Factors of type II_1 without non-trivial finite index subfactors
| dc.creator | Vaes, Stefaan | |
| dc.date | 2006-10-06 | |
| dc.date | 2007-03-08 | |
| dc.date.accessioned | 2026-07-07T12:31:42Z | |
| dc.date.available | 2026-07-07T12:31:42Z | |
| dc.description | We call a subfactor trivial if it is isomorphic with the obvious inclusion of N into matrices over N. We prove the existence of type II_1 factors M without non-trivial finite index subfactors. Equivalently, every M-M-bimodule with finite coupling constant, both as a left and as a right M-module, is a multiple of L^2(M). Our results rely on the recent work of Ioana, Peterson and Popa, who proved the existence of type II_1 factors without outer automorphisms. | |
| dc.description | Smoothened presentation, final version | |
| dc.identifier | https://arxiv.org/abs/math/0610231 | |
| dc.identifier | http://arxiv.org/abs/math/0610231 | |
| dc.identifier | Transactions of the American Mathematical Society 361 (2009), 2587-2606. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216535 | |
| dc.subject | Operator Algebras | |
| dc.title | Factors of type II_1 without non-trivial finite index subfactors | |
| dc.type | text |