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arXiv · 2010.10287

Strong Orbit Equivalence in Cantor dynamics and simple locally finite groups

Simon Robert
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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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Simon Robert. 2020-10-20. Strong Orbit Equivalence in Cantor dynamics and simple locally finite groups. https://doi.org/10.4064/fm227-7-2022

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