{
  "id": "math/0609668",
  "version": "v3",
  "published": "2006-09-24T01:44:03.000Z",
  "updated": "2007-11-22T13:33:53.000Z",
  "title": "Orbit equivalence for Cantor minimal Z^2-systems",
  "authors": [
    "Thierry Giordano",
    "Hiroki Matui",
    "Ian F. Putnam",
    "Christian F. Skau"
  ],
  "comment": "42 pages",
  "categories": [
    "math.DS",
    "math.OA"
  ],
  "abstract": "We show that every minimal, free action of the group Z^2 on the Cantor set is orbit equivalent to an AF-relation. As a consequence, this extends the classification of minimal systems on the Cantor set up to orbit equivalence to include AF-relations, Z-actions and Z^2-actions.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-11-22T13:33:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B05"
    ],
    "keywords": [
      "orbit equivalence",
      "cantor minimal",
      "cantor set",
      "af-relation",
      "free action"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9668G"
    }
  }
}