Examples of Groups that are Measure Equivalent to the Free Group

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dc.creatorGaboriau, Damien
dc.date2005-03-09
dc.date2005-05-25
dc.date.accessioned2026-07-07T05:17:50Z
dc.date.available2026-07-07T05:17:50Z
dc.descriptionMeasure Equivalence (ME) is the measure theoretic counterpart of quasi-isometry. This field grew considerably during the last years, developing tools to distinguish between different ME classes of countable groups. On the other hand, contructions of ME equivalent groups are very rare. We present a new method, based on a notion of measurable free-factor, and we apply it to exhibit a new family of groups that are measure equivalent to the free group. We also present a quite extensive survey on results about Measure Equivalence for countable groups.
dc.descriptionTo appear in Ergodic Theory and Dynamical Systems
dc.identifierhttps://arxiv.org/abs/math/0503181
dc.identifierhttp://arxiv.org/abs/math/0503181
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74448
dc.subjectDynamical Systems
dc.subjectGroup Theory
dc.subjectOperator Algebras
dc.subjectProbability
dc.subject37A20, 20F65, 05C25, 82B43, 05C80, 20E, 20E05, 20E06, 46L10
dc.titleExamples of Groups that are Measure Equivalent to the Free Group
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