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

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

2007-11-11

arxiv.org/abs/0711.1643v2

Mathematics

Group Theory

10 pages, to appear in Inventiones Mathematicae

Scientific paper

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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