Conjugacy, orbit equivalence and classification of measure preserving group actions
| dc.creator | Tornquist, Asger | |
| dc.date | 2007-02-27 | |
| dc.date | 2008-03-18 | |
| dc.date.accessioned | 2026-07-07T09:27:13Z | |
| dc.date.available | 2026-07-07T09:27:13Z | |
| dc.description | We prove that if $G$ is a countable discrete group with property (T) over an infinite subgroup $H<G$ which contains an infinite Abelian subgroup or is normal, then $G$ has continuum many orbit inequivalent measure preserving a.e. free ergodic actions on a standard Borel probability space. Further, we obtain that the measure preserving a.e. free ergodic actions of such a $G$ cannot be classified up to orbit equivalence be a reasonable assignment of countable structures as complete invariants. We also obtain a strengthening and a new proof of a non-classification result of Foreman and Weiss for conjugacy of measure preserving ergodic, a.e. free actions of discrete countable groups. | |
| dc.identifier | https://arxiv.org/abs/math/0702854 | |
| dc.identifier | http://arxiv.org/abs/math/0702854 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157019 | |
| dc.subject | Operator Algebras | |
| dc.subject | 37A20 | |
| dc.title | Conjugacy, orbit equivalence and classification of measure preserving group actions | |
| dc.type | text |