{
  "id": "math/0611348",
  "version": "v1",
  "published": "2006-11-12T12:34:47.000Z",
  "updated": "2006-11-12T12:34:47.000Z",
  "title": "Characterizing C*-algebras of compact operators by generic categorical properties of Hilbert C*-modules",
  "authors": [
    "Michael Frank"
  ],
  "comment": "9 pages, part of a collection dedicated to the memory of Yu. P. Solovyov (Moscow State University). to appear in K-Theory",
  "categories": [
    "math.OA",
    "math.FA"
  ],
  "abstract": "B. Magajna and J. Schweizer showed in 1997 and 1999, respectively, that C*-algebras of compact operators can be characterized by the property that every norm-closed (and coinciding with its biorthogonal complement, resp.) submodule of every Hilbert C*-module over them is automatically an orthogonal summand. We find out further generic properties of the category of Hilbert C*-modules over C*-algebras which characterize precisely the C*-algebras of compact operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-11-12T12:34:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L08",
      "46H25"
    ],
    "keywords": [
      "compact operators",
      "generic categorical properties",
      "characterizing",
      "biorthogonal complement",
      "orthogonal summand"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11348F"
    }
  }
}