{
  "id": "1804.09008",
  "version": "v1",
  "published": "2018-04-24T13:20:44.000Z",
  "updated": "2018-04-24T13:20:44.000Z",
  "title": "Topological full groups and t.d.l.c. completions of Thompson's $V$",
  "authors": [
    "Waltraud Lederle"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We show how all topological full groups coming from a one-sided irreducible shift of finite type, as studied by Matui, can be re-interpreted as groups of colour-preserving tree almost automorphisms. As an application, we show that they admit t.d.l.c. completions of arbitrary finite local prime content. This applies in particular to Thompson's $V$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-24T13:20:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological full groups",
      "completions",
      "arbitrary finite local prime content",
      "finite type",
      "one-sided irreducible shift"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}