{
  "id": "0802.4294",
  "version": "v2",
  "published": "2008-02-28T21:16:07.000Z",
  "updated": "2008-10-26T23:44:51.000Z",
  "title": "A measure-conjugacy invariant for free group actions",
  "authors": [
    "Lewis Bowen"
  ],
  "comment": "The proofs in this version are slightly simpler than in the previous version. Also, the last 3 sections have been removed. I intend to write up the main results of those sections in a separate paper",
  "categories": [
    "math.DS",
    "math.PR"
  ],
  "abstract": "This paper introduces a new measure-conjugacy invariant for actions of free groups. Using this invariant, it is shown that two Bernoulli shifts over a finitely generated free group are measurably conjugate if and only if their base measures have the same entropy. This answers a question of Ornstein and Weiss.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-10-26T23:44:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A35"
    ],
    "keywords": [
      "free group actions",
      "measure-conjugacy invariant",
      "bernoulli shifts",
      "finitely generated free group",
      "base measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.4294B"
    }
  }
}