{
  "id": "2010.00405",
  "version": "v1",
  "published": "2020-10-01T13:45:52.000Z",
  "updated": "2020-10-01T13:45:52.000Z",
  "title": "Kriger's type of nonsingular Poisson suspensions and IDPFT systems",
  "authors": [
    "Alexandre I. Danilenko",
    "Zemer Kosloff"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "Given an infinite countable discrete amenable group $\\Gamma$, we construct explicitly sharply weak mixing nonsingular Poisson $\\Gamma$-actions of each Krieger's type: $III_\\lambda$, for $\\lambda\\in[0,1]$, and $II_\\infty$. The result is new even for $\\Gamma=\\Bbb Z$. As these Poisson suspension actions are over very special dissipative base, we obtain also new examples of sharply weak mixing nonsingular Bernoulli $\\Gamma$-actions and IDPFT systems of each possible Krieger's type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-01T13:45:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A40"
    ],
    "keywords": [
      "nonsingular poisson suspensions",
      "sharply weak mixing nonsingular",
      "idpft systems",
      "krigers type",
      "weak mixing nonsingular bernoulli"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}