论文标题
通用零熵系统的不存在，用于非周期性的群体动作
Non-existence of a universal zero entropy system for non-periodic amenable group actions
论文作者
论文摘要
令$ g $为一个非周期性的正态组。我们证明，不存在$ g $的拓扑作用，对于$ g $，一套不间断的措施与熵零的所有Ergodic Measity理论理论理论理论$ G $系统相吻合。以前J. Serafin回答B. Weiss的问题，证明了$ G = \ Mathbb {Z} $的情况。
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 $G$-systems of entropy zero. Previously J. Serafin, answering a question by B. Weiss, proved the same for $G = \mathbb{Z}$.
