{
  "id": "math/0601601",
  "version": "v1",
  "published": "2006-01-25T09:17:48.000Z",
  "updated": "2006-01-25T09:17:48.000Z",
  "title": "Classification of actions of duals of finite groups on the AFD factor of type II_1",
  "authors": [
    "Toshihiko MASUDA"
  ],
  "comment": "27 pages",
  "categories": [
    "math.OA"
  ],
  "abstract": "We will show the uniqueness of outer coactions of finite groups on the AFD factor of type II$_1$ along the arguments by Connes, Jones and Ocneanu. Namely, we construct the infinite tensor product type action, adopt it as the model action, and prove that any outer coaction is conjugate to the model action.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-01-25T09:17:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L40"
    ],
    "keywords": [
      "finite groups",
      "afd factor",
      "infinite tensor product type action",
      "model action",
      "outer coaction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......1601M"
    }
  }
}