Speaker
Prof.
Georgii Veprev
(Euler Mathematical Institute)
Description
Let $G$ be a non-periodic amenable group. We prove that there does not exist a topological action of $G$ for which the set of ergodic invariant measures coincides with the set of all ergodic measure-theoretic systems of entropy zero. Previously J. Serafin, answering a question by B. Weiss, proved the same for $G=\mathbb{Z}$.
