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arXiv · 2006.01710

Minimal model-universal flows for locally compact Polish groups

Colin Jahel·Andy Zucker
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Abstract

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.

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Colin Jahel, Andy Zucker. 2020-06-02. Minimal model-universal flows for locally compact Polish groups. https://arxiv.org/abs/2006.01710

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