Mathematics – Operator Algebras
Scientific paper
2011-07-07
Mathematics
Operator Algebras
Scientific paper
We give an elementary proof for Lewis Bowen's theorem saying that two Bernoulli actions of two free groups, each having arbitrary base probability spaces, are stably orbit equivalent. Our methods also show that for all compact groups K and every free product \Gamma of n infinite amenable groups, the factor K^{\Gamma}/K of the Bernoulli action of \Gamma on K^{\Gamma} by the diagonal action of K, is isomorphic with a Bernoulli action of \Gamma.
Meesschaert Niels
Raum Sven
Vaes Stefaan
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