An Uncountable Family of Non Orbit Equivalent Actions of $\Bbb F_n$
| dc.creator | Gaboriau, Damien | |
| dc.creator | Popa, Sorin | |
| dc.date | 2003-05-31 | |
| dc.date | 2005-02-28 | |
| dc.date.accessioned | 2026-07-07T04:58:26Z | |
| dc.date.available | 2026-07-07T04:58:26Z | |
| dc.description | For each $2 \leq n \leq \infty$, we construct an uncountable family of free ergodic measure preserving actions $α_t$ of the free group $\Bbb F_n$ on the standard probability space $(X, μ)$ such that any two are non orbit equivalent (in fact, not even stably orbit equivalent). These actions are all ``rigid'' (in the sense of [Po01]), with the II$_1$ factors $L^\infty(X, μ)\rtimes_{α_t} \Bbb F_n$ mutually non stably isomorphic (even non-stably isomorphic) and in the class $\Cal H\Cal T_{_{s}}.$ | |
| dc.description | New version (13 pages), which includes the case $ n = \infty$; revised version 04/08/04 | |
| dc.identifier | https://arxiv.org/abs/math/0306011 | |
| dc.identifier | http://arxiv.org/abs/math/0306011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67639 | |
| dc.subject | Group Theory | |
| dc.subject | Operator Algebras | |
| dc.subject | 28D15, 46L10, 46L35, 20E05 | |
| dc.title | An Uncountable Family of Non Orbit Equivalent Actions of $\Bbb F_n$ | |
| dc.type | text |