English

Minimal model-universal flows for locally compact Polish groups

Dynamical Systems 2020-06-04 v1 Group Theory Logic

Abstract

Let GG be a locally compact Polish group. A metrizable GG-flow YY is called model-universal if by considering the various invariant probability measures on YY, we can recover every free action of GG on a standard Lebesgue space up to isomorphism. Weiss has shown that for countable GG, there exists a minimal, model-universal flow. In this paper, we extend this result to all locally compact Polish groups.

Keywords

Cite

@article{arxiv.2006.01710,
  title  = {Minimal model-universal flows for locally compact Polish groups},
  author = {Colin Jahel and Andy Zucker},
  journal= {arXiv preprint arXiv:2006.01710},
  year   = {2020}
}

Comments

13 pages

R2 v1 2026-06-23T15:59:53.820Z