{
  "id": "2006.01710",
  "version": "v1",
  "published": "2020-06-02T15:28:35.000Z",
  "updated": "2020-06-02T15:28:35.000Z",
  "title": "Minimal model-universal flows for locally compact Polish groups",
  "authors": [
    "Colin Jahel",
    "Andy Zucker"
  ],
  "comment": "13 pages",
  "categories": [
    "math.DS",
    "math.GR"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-02T15:28:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B05",
      "22D40",
      "28D15"
    ],
    "keywords": [
      "locally compact polish group",
      "minimal model-universal flows",
      "invariant probability measures",
      "standard lebesgue space",
      "free action"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}