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

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We 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.
10 pages, to appear in Inventiones Mathematicae

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Group Theory, Dynamical Systems, Operator Algebras, Probability, 37A20, 20E05, 82B43, 05C80

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http://salesiana.dossiersoluciones.com/handle/123456789/222756

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.1643
 http://arxiv.org/abs/0711.1643

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arXiv