{
  "id": "math/0206233",
  "version": "v2",
  "published": "2002-06-22T12:43:14.000Z",
  "updated": "2002-10-27T12:29:55.000Z",
  "title": "Biprojectivity and biflatness for convolution algebras of nuclear operators",
  "authors": [
    "A. Yu. Pirkovskii"
  ],
  "comment": "10 pages; references changed, remarks added",
  "categories": [
    "math.FA"
  ],
  "abstract": "For a locally compact group G, the convolution product on the space N(L^p(G)) of nuclear operators was defined by Neufang. We study homological properties of the convolution algebra N(L^p(G)) and relate them with some properties of the group G, such as compactness, finiteness, discreteness, and amenability.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-10-27T12:29:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46M10",
      "46H25",
      "43A20",
      "16E65"
    ],
    "keywords": [
      "nuclear operators",
      "convolution algebra",
      "biflatness",
      "biprojectivity",
      "convolution product"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......6233P"
    }
  }
}