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Journal Articles Inventiones Mathematicae Year : 2009

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

Abstract

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.
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Dates and versions

hal-00186658 , version 1 (10-11-2007)
hal-00186658 , version 2 (11-03-2009)

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Damien Gaboriau, Russell Lyons. A Measurable-Group-Theoretic Solution to von Neumann's Problem. Inventiones Mathematicae, 2009, 177 (3), pp.533-540. ⟨10.1007/s00222-009-0187-5⟩. ⟨hal-00186658v2⟩
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