{
  "id": "1901.08985",
  "version": "v1",
  "published": "2019-01-25T17:03:23.000Z",
  "updated": "2019-01-25T17:03:23.000Z",
  "title": "Relative topological entropy for actions of non-discrete groups on compact spaces",
  "authors": [
    "Till Hauser"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove an Ornstein-Weiss lemma for amenable unimodular groups containing a uniform lattice and show that averages along Van Hove nets can be obtained by averaging inside the lattice. We use this result to introduce relative topological entropy for actions of amenable unimodular groups that contain a uniform lattice and show that Bowens formula for relative topological entropy is satisfied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-25T17:03:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B40",
      "37A35",
      "52C23"
    ],
    "keywords": [
      "relative topological entropy",
      "non-discrete groups",
      "compact spaces",
      "amenable unimodular groups",
      "uniform lattice"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}