{
  "id": "1403.5446",
  "version": "v1",
  "published": "2014-03-21T13:21:09.000Z",
  "updated": "2014-03-21T13:21:09.000Z",
  "title": "The Haagerup property is not invariant under quasi-isometry",
  "authors": [
    "Mathieu Carette",
    "Sylvain Arnt",
    "Thibault Pillon",
    "Alain Valette"
  ],
  "comment": "6 pages, appendix by Sylvain Arnt, Thibault Pillon and Alain Valette",
  "categories": [
    "math.GR"
  ],
  "abstract": "Using the work of Cornulier-Valette and Whyte, we show that neither the Haagerup property nor weak amenability is invariant under quasi-isometry of finitely generated groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-21T13:21:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20E08",
      "22D05",
      "22D10"
    ],
    "keywords": [
      "haagerup property",
      "quasi-isometry",
      "weak amenability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.5446C"
    }
  }
}