{
  "id": "1008.1429",
  "version": "v2",
  "published": "2010-08-08T22:01:21.000Z",
  "updated": "2010-11-22T02:47:00.000Z",
  "title": "Soficity, amenability, and dynamical entropy",
  "authors": [
    "David Kerr",
    "Hanfeng Li"
  ],
  "comment": "Minor change. To appear in Amer. J. Math",
  "journal": "Amer. J. Math. 135 (2013), no. 3, 721--761",
  "categories": [
    "math.DS",
    "math.GR",
    "math.OA"
  ],
  "abstract": "In a previous paper the authors developed an operator-algebraic approach to Lewis Bowen's sofic measure entropy that yields invariants for actions of countable sofic groups by homeomorphisms on a compact metrizable space and by measure-preserving transformations on a standard probability space. We show here that these measure and topological entropy invariants both coincide with their classical counterparts when the acting group is amenable.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-11-22T02:47:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dynamical entropy",
      "lewis bowens sofic measure entropy",
      "amenability",
      "standard probability space",
      "operator-algebraic approach"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.1429K"
    }
  }
}