| A Measurable-Group-Theoretic Solution to von Neumann's Problem (2007) | |||||||||
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.. Comment: 10 pages, to appear in Inventiones Mathematicae | |||||||||
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