{
  "id": "1103.4424",
  "version": "v3",
  "published": "2011-03-23T00:21:37.000Z",
  "updated": "2011-06-09T04:04:49.000Z",
  "title": "Every countably infinite group is almost Ornstein",
  "authors": [
    "Lewis Bowen"
  ],
  "comment": "Comments welcome!",
  "categories": [
    "math.DS",
    "math.PR"
  ],
  "abstract": "We say that a countable discrete group $G$ is {\\em almost Ornstein} if for every pair of standard non-two-atom probability spaces $(K,\\kappa), (L,\\lambda)$ with the same Shannon entropy, the Bernoulli shifts $G \\cc (K^G,\\kappa^G)$ and $G \\cc (L^G,\\lambda^G)$ are isomorphic.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-06-09T04:04:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "countably infinite group",
      "standard non-two-atom probability spaces",
      "shannon entropy",
      "bernoulli shifts",
      "countable discrete group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.4424B"
    }
  }
}