Cocycle Superrigidity for Profinite Actions of Property (T) Groups
| dc.creator | Ioana, Adrian | |
| dc.date | 2008-05-20 | |
| dc.date.accessioned | 2026-07-07T09:39:50Z | |
| dc.date.available | 2026-07-07T09:39:50Z | |
| dc.description | Consider a free ergodic measure preserving profinite action $Γ\curvearrowright X$ (i.e. an inverse limit of actions $Γ\curvearrowright X_n$, with $X_n$ finite) of a countable property (T) group $Γ$ (more generally of a group $Γ$ which admits an infinite normal subgroup $Γ_0$ such that the inclusion $Γ_0\subsetΓ$ has relative property (T) and $Γ/Γ_0$ is finitely generated) on a standard probability space $X$. We prove that if $w:Γ\times X\to Λ$ is a measurable cocycle with values in a countable group $Λ$, then $w$ is cohomologous to a cocycle $w'$ which factors through the map $Γ\times X\to Γ\times X_n$, for some $n$. As a corollary, we show that any orbit equivalence of $Γ\curvearrowright X$ with any free ergodic measure preserving action $Λ\curvearrowright Y$ comes from a (virtual) conjugacy of actions. | |
| dc.identifier | https://arxiv.org/abs/0805.2998 | |
| dc.identifier | http://arxiv.org/abs/0805.2998 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161324 | |
| dc.subject | Group Theory | |
| dc.subject | Operator Algebras | |
| dc.subject | 37A20 ; 46L10 | |
| dc.title | Cocycle Superrigidity for Profinite Actions of Property (T) Groups | |
| dc.type | text |