Orbit Equivalence and actions of F_n

preprint2011arXivOpen access

Abstract

In this paper we show that there are "E_0 many" orbit inequivalent free actions of the free groups F_n, 2≤n≤∞2\leq n\leq\infty, by measure preserving transformations on a standard Borel probability space. In particular, there are uncountably many such actions.

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