{
  "id": "0910.4719",
  "version": "v1",
  "published": "2009-10-25T10:47:59.000Z",
  "updated": "2009-10-25T10:47:59.000Z",
  "title": "Subshifts and C*-algebras from one-counter codes",
  "authors": [
    "Wolfgang Krieger",
    "Kengo Matsumoto"
  ],
  "comment": "27 pages",
  "categories": [
    "math.DS",
    "math.OA"
  ],
  "abstract": "We introduce a class of subshifts under the name of \"standard one-counter shifts\". The standard one-counter shifts are the Markov coded systems of certain Markov codes that belong to the family of one-counter languages. We study topological conjugacy and flow equivalence of standard one-counter shifts. To subshifts there are associated C*-algebras by their $\\lambda$-graph systems. We describe a class of standard one-counter shifts with the property that the C*-algebra associated to them is simple, while the C*-algebra that is associated to their inverse is not. This gives examples of subshifts that are not flow equivalent to their inverse. For a family of highly structured standard one-counter shifts we compute the K-groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-10-25T10:47:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B10",
      "68Q45",
      "46L80"
    ],
    "keywords": [
      "one-counter codes",
      "highly structured standard one-counter shifts",
      "one-counter languages",
      "study topological conjugacy",
      "graph systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.4719K"
    }
  }
}