{
  "id": "1901.01145",
  "version": "v1",
  "published": "2019-01-04T14:41:49.000Z",
  "updated": "2019-01-04T14:41:49.000Z",
  "title": "Extensions of Full Shifts with Group Actions",
  "authors": [
    "Bartosz Frej",
    "Dawid Huczek"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We give a sufficient condition for a symbolic topological dynamical system with action of a countable amenable group to be an extension of the full shift, a problem analogous to those studied by Ashley, Marcus, Johnson and others for actions of $\\mathbb{Z}$ and $\\mathbb{Z}^d$ .",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-04T14:41:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B10",
      "37B40",
      "43A07"
    ],
    "keywords": [
      "full shift",
      "group actions",
      "sufficient condition",
      "symbolic topological dynamical system",
      "countable amenable group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}