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math.DS2026
Orbit equivalence and total weak mixing of free group actions
Konrad Wróbel
We prove that the orbit equivalence class of every free ergodic probability-measure-preserving (pmp) action of a free group contains a totally weak mixing action. Equivalently, eve…
math.DS2020
Cost of inner amenable groupoids
Robin Tucker-Drob, Konrad Wróbel
Kida and Tucker-Drob recently extended the notion of inner amenability from countable groups to discrete p.m.p. groupoids. In this article, we show that inner amenable groupoids ha…