{
  "id": "0808.1146",
  "version": "v2",
  "published": "2008-08-08T01:28:59.000Z",
  "updated": "2008-12-30T19:41:57.000Z",
  "title": "Biflatness and biprojectivity of the Fourier algebra",
  "authors": [
    "Volker Runde"
  ],
  "comment": "6 pages; a few typos fixed",
  "journal": "Arch. Math. (Basel) 92 (2009), 525-530",
  "categories": [
    "math.FA"
  ],
  "abstract": "We show that the biflatness - in the sense of A. Ya. Helemskii - of the Fourier algebra $A(G)$ of a locally compact group $G$ forces $G$ to either have an abelian subgroup of finite index or to be non-amenable without containing $F_2$, the free group in two generators, as a closed subgroup. An analogous dichotomy is obtained for biprojectivity.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-12-30T19:41:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A30",
      "22D99",
      "43A07",
      "46J40",
      "46M18"
    ],
    "keywords": [
      "fourier algebra",
      "biflatness",
      "biprojectivity",
      "free group",
      "locally compact group"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0808.1146R"
    }
  }
}