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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.

Publication details
Download http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.96.9989
Source http://www.umpa.ens-lyon.fr/~gaboriau/Travaux-Publi/Ga-Ly/Ga-Ly.pdf
Contributors CiteSeerX
Repository CiteSeerX - Scientific Literature Digital Library and Search Engine (United States)
Keywords Key words and phrases, Orbit equivalence, free group, non-amenability, von Neumann’s problem, percolation theory
Type text
Language English
Relation 10.1.1.31.2673, 10.1.1.126.3212, 10.1.1.113.7824