论文标题
本地紧凑型抛光群的最小模型流动
Minimal model-universal flows for locally compact Polish groups
论文作者
论文摘要
令$ g $为本地紧凑的波兰人。如果考虑到$ y $的各种不变概率措施，我们可以在标准的Lebesgue空间上恢复每项免费的$ g $ $ g $的概率措施，即可恢复标准的Lebesgue空间上的每项免费操作，以至于同构为同构，我们可以收回$ g $ -flow $ y $的$ G $ -FLOW $ Y $。魏斯表明，对于可数$ g $，存在最小的模型 - 宇宙流。在本文中，我们将此结果扩展到所有本地紧凑的抛光群。
Let $G$ be a locally compact Polish group. A metrizable $G$-flow $Y$ is called model-universal if by considering the various invariant probability measures on $Y$, we can recover every free action of $G$ on a standard Lebesgue space up to isomorphism. Weiss has shown that for countable $G$, there exists a minimal, model-universal flow. In this paper, we extend this result to all locally compact Polish groups.
