{
  "id": "1406.5243",
  "version": "v1",
  "published": "2014-06-19T23:52:35.000Z",
  "updated": "2014-06-19T23:52:35.000Z",
  "title": "Minimal models for actions of amenable groups",
  "authors": [
    "Bartosz Frej",
    "Dawid Huczek"
  ],
  "comment": "15 pages, 3 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that on a metrizable, compact, zero-dimensional space every free action of an amenable group is measurably isomorphic to a minimal $G$-action with the same, i.e. affinely homeomorphic, simplex of measures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-19T23:52:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28D15",
      "37A15"
    ],
    "keywords": [
      "amenable group",
      "minimal models",
      "free action",
      "zero-dimensional space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.5243F"
    }
  }
}