{
  "id": "2005.02812",
  "version": "v1",
  "published": "2020-05-06T13:34:05.000Z",
  "updated": "2020-05-06T13:34:05.000Z",
  "title": "The Orbital equivalence of Bernoulli actions and their Sinai factors",
  "authors": [
    "Zemer Kosloff",
    "Terry Soo"
  ],
  "comment": "42 pages",
  "categories": [
    "math.DS",
    "math.PR"
  ],
  "abstract": "Given a countable amenable group G and 0 < L < 1, we give an elementary construction of a type-III:L Bernoulli group action. In the case where G is the integers, we show that our nonsingular Bernoulli shifts have independent and identically distributed factors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-06T13:34:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A40",
      "37A20",
      "37A35",
      "60G09"
    ],
    "keywords": [
      "bernoulli actions",
      "sinai factors",
      "orbital equivalence",
      "bernoulli group action",
      "nonsingular bernoulli shifts"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}