{
  "id": "math/0404402",
  "version": "v3",
  "published": "2004-04-22T02:49:08.000Z",
  "updated": "2009-01-14T00:17:56.000Z",
  "title": "Group actions on Banach spaces and a geometric characterization of a-T-menability",
  "authors": [
    "Piotr W. Nowak"
  ],
  "comment": "This version differs significantly from both the published version and the previous arXiv versions. The reason is a long overdue correction of implication 1=>3 in the proof of the main result. In the current version the proof is fixed but with a very different argument. I owe thanks to Cornelia Drutu for helpful correspondence which led to this update",
  "journal": "Topology and its Applications (2006) vol. 156 (18) pp. 3409-3412",
  "categories": [
    "math.MG",
    "math.FA"
  ],
  "abstract": "We prove a geometric characterization of a-T-menability through proper, affine, isometric actions on the Banach spaces $L_p[0,1]$ for $1<p<2$. This answers a question of A. Valette.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-01-14T00:17:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "banach spaces",
      "geometric characterization",
      "group actions",
      "a-t-menability"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......4402N"
    }
  }
}