{
  "id": "1004.2422",
  "version": "v2",
  "published": "2010-04-14T15:42:09.000Z",
  "updated": "2010-09-22T13:23:27.000Z",
  "title": "The Myhill property for strongly irreducible subshifts over amenable groups",
  "authors": [
    "Tullio Ceccherini-Silberstein",
    "Michel Coornaert"
  ],
  "journal": "Monatsh. Math. 165 (2012), 155-172",
  "categories": [
    "math.DS",
    "math.GR"
  ],
  "abstract": "Let $G$ be an amenable group and let $A$ be a finite set. We prove that if $X \\subset A^G$ is a strongly irreducible subshift then $X$ has the Myhill property, that is, every pre-injective cellular automaton $\\tau \\colon X \\to X$ is surjective.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-09-22T13:23:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B10",
      "37B15",
      "68Q80",
      "43A07"
    ],
    "keywords": [
      "strongly irreducible subshift",
      "myhill property",
      "amenable group",
      "finite set"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.2422C"
    }
  }
}