{
  "id": "1512.05139",
  "version": "v1",
  "published": "2015-12-16T11:46:39.000Z",
  "updated": "2015-12-16T11:46:39.000Z",
  "title": "Furstenberg entropy values for nonsingular actions of groups without property (T)",
  "authors": [
    "Alexandre I. Danilenko"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "Let $G$ be a discrete countable infinite group that does not have Kazhdan's property ~(T) and let $\\kappa$ be a generating probability measure on $G$. Then for each $t>0$, there is a type $III_1$ ergodic free nonsingular $G$-action whose $\\kappa$-entropy (or the Furstenberg entropy) is $t$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-16T11:46:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A40",
      "37A20",
      "37A35"
    ],
    "keywords": [
      "furstenberg entropy values",
      "nonsingular actions",
      "ergodic free nonsingular",
      "discrete countable infinite group",
      "generating probability measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151205139D"
    }
  }
}