Groups and Dynamics Seminar

Date: October 23, 2019

Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Nóra Gabriella Szőke

Title: A Tits alternative for topological full groups

Abstract: I will present a Tits alternative for topological full groups of minimal actions of finitely generated groups. On the one hand, the topological full group of a minimal action of a virtually cyclic group is amenable. This is a generalization of the result of Juschenko and Monod for Z-actions. On the other hand, when a finitely generated group G is not virtually cyclic, then we can construct a minimal free action of G on a Cantor space such that the topological full group contains a non-abelian free group.