Orbit inequivalent actions for groups containing a copy of $\mathbb{F}_{2}$

By Adrian Ioana. 2006

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We prove that if a countable group Γ contains a copy of $\mathbb{F}_{2}$, then it admits uncountably many non orbit equivalent actions.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/7b8e397bcdd854ec9aa788fac159d77b65ba460e