{
  "id": "math/0301214",
  "version": "v4",
  "published": "2003-01-20T14:07:17.000Z",
  "updated": "2004-12-22T11:47:06.000Z",
  "title": "Crossed Products by Endomorphisms, Vector Bundles and Group Duality",
  "authors": [
    "Ezio Vasselli"
  ],
  "comment": "37 pages, uses xy. Revised version of the first part of the previous submission, to appear on Int. J. Math",
  "journal": "Int.J.Math. 16 (2005) 137-172",
  "categories": [
    "math.OA",
    "math.CT",
    "math.KT"
  ],
  "abstract": "We construct the crossed product of a C(X)-algebra by an endomorphism, in such a way that the endomorphism itself becomes induced by the bimodule of continuous sections of a vector bundle. Some motivating examples for such a construction are given. Furthermore, we study the C*-algebra of G-invariant elements of the Cuntz-Pimsner algebra associated with a G-vector bundle, where G is a (noncompact, in general) group. In particular, the C*-algebra of invariant elements w.r.t. the action of the group of special unitaries of the given vector bundle is a crossed product in the above sense. We also study the analogous construction on certain Hilbert bimodules, called 'noncommutative pullbacks'.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2004-12-22T11:47:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L05",
      "46L08",
      "22D35"
    ],
    "keywords": [
      "crossed product",
      "group duality",
      "endomorphism",
      "g-vector bundle",
      "hilbert bimodules"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1142/S0129167X05002783"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 615371,
      "adsabs": "2003math......1214V"
    }
  }
}