A Measurable-Group-Theoretic Solution to von Neumann's Problem

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dc.creatorGaboriau, Damien
dc.creatorLyons, Russell
dc.date2007-11-11
dc.date2009-03-11
dc.date.accessioned2026-07-07T12:50:41Z
dc.date.available2026-07-07T12:50:41Z
dc.descriptionWe give a positive answer, in the measurable-group-theory context, to von Neumann's problem of knowing whether a non-amenable countable discrete group contains a non-cyclic free subgroup. We also get an embedding result of the free-group von Neumann factor into restricted wreath product factors.
dc.description10 pages, to appear in Inventiones Mathematicae
dc.identifierhttps://arxiv.org/abs/0711.1643
dc.identifierhttp://arxiv.org/abs/0711.1643
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222756
dc.subjectGroup Theory
dc.subjectDynamical Systems
dc.subjectOperator Algebras
dc.subjectProbability
dc.subject37A20, 20E05, 82B43, 05C80
dc.titleA Measurable-Group-Theoretic Solution to von Neumann's Problem
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