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Logic Seminar

Monday, May 17, 2021
12:00pm to 1:00pm
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Orbit equivalence and wreath products
Robin Tucker-Drob, Department of Mathematics, Texas A&M University,

Let F be a nonabelian free group. We show that, for any two nontrivial finite groups, the natural actions of the wreath product groups A≀F and B≀F, on AF and BF respectively, are orbit equivalent. On the other hand, we show that these actions are not even stably orbit equivalent if F is replaced with any ICC sofic group with property (T), and A and B have different cardinalities. This is joint work with Konrad Wrobel.

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