{
  "id": "2004.03218",
  "version": "v1",
  "published": "2020-04-07T09:17:28.000Z",
  "updated": "2020-04-07T09:17:28.000Z",
  "title": "Property (T) and actions on infinite measure spaces",
  "authors": [
    "Paul Jolissaint"
  ],
  "comment": "8 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "The aim of the article is to provide a characterization of Kazhdan's property (T) for locally compact, second countable groups in terms of actions on infinite, $\\sigma$-finite measure spaces. It is inspired by the recent characterization of the Haagerup property by similar actions due to T. Delabie, A. Zumbrunnen and the author.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-07T09:17:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "infinite measure spaces",
      "similar actions",
      "second countable groups",
      "kazhdans property",
      "haagerup property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}