{
  "id": "1312.2469",
  "version": "v2",
  "published": "2013-12-09T15:35:46.000Z",
  "updated": "2014-01-06T12:43:13.000Z",
  "title": "Algebraic actions of the discrete Heisenberg group: Expansiveness and homoclinic points",
  "authors": [
    "Martin Göll",
    "Klaus Schmidt",
    "Evgeny Verbitskiy"
  ],
  "comment": "Accepted for publication by Indagationes Mathematicae - Journal - Elsevier",
  "categories": [
    "math.DS"
  ],
  "abstract": "We survey some of the known criteria for expansiveness of principal algebraic actions of countably infinite discrete groups. In the special case of the discrete Heisenberg group we propose a new approach to this problem based on Allan's local principle. Furthermore, we present a first example of an absolutely summable homoclinic point for a nonexpansive action of the discrete Heisenberg group and use it to construct an equal-entropy symbolic cover of the system.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-01-06T12:43:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54H20",
      "37A45",
      "43A20"
    ],
    "keywords": [
      "discrete heisenberg group",
      "expansiveness",
      "allans local principle",
      "principal algebraic actions",
      "equal-entropy symbolic cover"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.2469G"
    }
  }
}