Elementary amenability and almost finiteness

David Kerr (University of Münster)

Thursday 4th November, 2021 16:00-17:00 Maths 311B

Abstract

We show that every free continuous action of a countably infinite elementary amenable group on a finite-dimensional compact metrizable space is almost finite. As a consequence, the crossed products of minimal such actions are $\mathcal{Z}$-stable and classified by their Elliott invariant. This is joint work with Petr Naryshkin.