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Konrad Wrobel: "Orbit equivalence of wreath products"

Europe/Paris
Description

Abstract: We prove various rigidity and antirigidity results around the orbit equivalence of wreath product actions. In particular, we show the groups $C_2\wr \mathbb{F}_2$ and $\mathbb{Z} \wr \mathbb{F}_2$ are orbit equivalent. In order to accomplish this, we introduce the notion of a cofinitely equivariant map between shift spaces. This is joint work with Robin Tucker-Drob.