{
  "id": "math/0602222",
  "version": "v2",
  "published": "2006-02-10T16:44:14.000Z",
  "updated": "2007-04-03T17:35:18.000Z",
  "title": "Induction in stages for crossed products of C*-algebras by maximal coactions",
  "authors": [
    "Astrid an Huef",
    "S. Kaliszewski",
    "Iain Raeburn",
    "Dana P. Williams"
  ],
  "comment": "38 pages, LaTeX, uses Xy-pic; significant reorganization of previous version; short section on regularity of induced representations added",
  "categories": [
    "math.OA"
  ],
  "abstract": "Let B be a C*-algebra with a maximal coaction of a locally compact group G, and let N and H be closed normal subgroups of G with N contained in H. We show that the process Ind_(G/H)^G which uses Mansfield's bimodule to induce representations of the crossed product of B by G from those of the restricted crossed product of B by (G/H) is equivalent to the two-stage induction process: Ind_(G/N)^G composed with Ind_(G/H)^(G/N). The proof involves a calculus of symmetric imprimitivity bimodules which relates the bimodule tensor product to the fibred product of the underlying spaces.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-04-03T17:35:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L55"
    ],
    "keywords": [
      "crossed product",
      "maximal coaction",
      "two-stage induction process",
      "symmetric imprimitivity bimodules",
      "bimodule tensor product"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......2222H"
    }
  }
}