{
  "id": "0805.3685",
  "version": "v1",
  "published": "2008-05-23T18:49:09.000Z",
  "updated": "2008-05-23T18:49:09.000Z",
  "title": "Amenability properties of the centres of group algebras",
  "authors": [
    "Ahmadreza Azimifard",
    "Ebrahim Samei",
    "Nico Spronk"
  ],
  "comment": "20 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let G be a locally compact group, and ZL1(G) be the centre of its group algebra. We show that when $G$ is compact ZL1(G) is not amenable when G is either nonabelian and connected, or is a product of infinitely many finite nonabelian groups. We also, study, for some non-compact groups G, some conditions which imply amenability and hyper-Tauberian property, for ZL1(G).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-05-23T18:49:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A20",
      "47B47",
      "22C05",
      "22D05",
      "43A62"
    ],
    "keywords": [
      "group algebra",
      "amenability properties",
      "finite nonabelian groups",
      "compact zl1",
      "hyper-tauberian property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.3685A"
    }
  }
}