{
  "id": "math/0308158",
  "version": "v1",
  "published": "2003-08-18T13:28:50.000Z",
  "updated": "2003-08-18T13:28:50.000Z",
  "title": "Cohomology of property T groupoids and applications",
  "authors": [
    "Claire Anantharaman-Delaroche"
  ],
  "comment": "43 pages",
  "categories": [
    "math.DS",
    "math.OA"
  ],
  "abstract": "We extend the Delorme-Guichardet characterization of Kazhdan property $T$ groups to $r$-discrete measured groupoids. We give several applications, in particular to stability results of Kazhdan property $T$ and to the study of cocycles taking values in a group having the Haagerup property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-08-18T13:28:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22F10",
      "22D40",
      "28D15",
      "28D99",
      "37A15",
      "37A20"
    ],
    "keywords": [
      "applications",
      "cohomology",
      "kazhdan property",
      "stability results",
      "delorme-guichardet characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......8158A"
    }
  }
}