{
  "id": "1603.03018",
  "version": "v1",
  "published": "2016-03-09T20:09:39.000Z",
  "updated": "2016-03-09T20:09:39.000Z",
  "title": "Faces of simplices of invariant measures for actions of amenable groups",
  "authors": [
    "Bartosz Frej",
    "Dawid Huczek"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that every face in the simplex of invariant measures on a zero-dimensional dynamical system with free action of an amenable group $G$ can be modeled as the entire simplex of invariant measures on some other zero-dimensional dynamical system with free action of $G$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-09T20:09:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A15",
      "37B05"
    ],
    "keywords": [
      "invariant measures",
      "amenable group",
      "zero-dimensional dynamical system",
      "free action"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160303018F"
    }
  }
}