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Strong Orbit Equivalence in Cantor dynamics and simple locally finite groups (2010.10287v2)
Published 20 Oct 2020 in math.DS
Abstract: We study certain countable locally finite groups attached to minimal homeomorphisms, and prove that the isomorphism relation on simple, countable, locally finite groups is a universal relation arising from a Borel $S_\infty$-action. This work also provides a dynamical approach to a result of Giordano, Putnam and Skau characterizing strong orbit equivalence.
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