{
  "id": "1105.4393",
  "version": "v1",
  "published": "2011-05-23T03:04:50.000Z",
  "updated": "2011-05-23T03:04:50.000Z",
  "title": "A notion of synchronization of symbolic dynamics and a class of $C^*$-algebras",
  "authors": [
    "Wolfgang Krieger",
    "Kengo Matsumoto"
  ],
  "comment": "12 pages",
  "categories": [
    "math.DS",
    "math.OA"
  ],
  "abstract": "We discuss a synchronization property for subshifts, that we call $\\lambda$-synchronization. Under an irreducibility assumption we associate to a $\\lambda$-synchronizing subshift a simple and purely infinite $C^*$-algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-23T03:04:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B10",
      "46L35"
    ],
    "keywords": [
      "symbolic dynamics",
      "irreducibility assumption",
      "synchronization property",
      "purely infinite"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.4393K"
    }
  }
}