{
  "id": "2002.05094",
  "version": "v1",
  "published": "2020-02-12T16:59:15.000Z",
  "updated": "2020-02-12T16:59:15.000Z",
  "title": "Generic nonsingular Poisson suspension is of type $III_1$",
  "authors": [
    "Alexandre I. Danilenko",
    "Zemer Kosloff",
    "Emmanuel Roy"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "It is shown that for a dense $G_\\delta$-subset of the subgroup of nonsingular transformations (of a standard infinite $\\sigma$-finite measure space) whose Poisson suspensions are nonsingular, the corresponding Poisson suspensions are ergodic and of Krieger's type $III_1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-12T16:59:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A40"
    ],
    "keywords": [
      "generic nonsingular poisson suspension",
      "finite measure space",
      "kriegers type",
      "nonsingular transformations",
      "corresponding poisson suspensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}