Orbit inequivalent actions of non-amenable groups

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dc.creatorEpstein, Inessa
dc.date2007-07-28
dc.date2008-03-12
dc.date.accessioned2026-07-07T09:26:02Z
dc.date.available2026-07-07T09:26:02Z
dc.descriptionConsider two free measure preserving group actions $Γ\actson (X, μ), Δ\actson (X, μ)$, and a measure preserving action $Δ\actson^a (Z, ν)$ where $(X, μ), (Z, ν)$ are standard probability spaces. We show how to construct free measure preserving actions $Γ\actson^c (Y, m)$, $Δ\actson^d (Y, m)$ on a standard probability space such that $E_Δ^d \subset E_Γ^c$ and $d$ has $a$ as a factor. This generalizes the standard notion of co-induction of actions of groups from actions of subgroups. We then use this construction to show that if $Γ$ is a countable non-amenable group, then $Γ$ admits continuum many orbit inequivalent free, measure preserving, ergodic actions on a standard probability space.
dc.descriptionWrote introduction, references, etc
dc.identifierhttps://arxiv.org/abs/0707.4215
dc.identifierhttp://arxiv.org/abs/0707.4215
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156612
dc.subjectGroup Theory
dc.titleOrbit inequivalent actions of non-amenable groups
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