{
  "id": "math/0301180",
  "version": "v6",
  "published": "2003-01-16T22:16:18.000Z",
  "updated": "2005-11-18T23:03:58.000Z",
  "title": "A generalization of the topological Brauer group",
  "authors": [
    "A. V. Ershov"
  ],
  "comment": "34 pages. v5: The part concerning the generalized Brauer group has been completely rewritten. An application to twisted $K$-theory is added",
  "categories": [
    "math.AT",
    "math.KT"
  ],
  "abstract": "In the present paper we study some homotopy invariants which can be defined by means of bundles with fiber a matrix algebra. We also introduce some generalization of the Brauer group in the topological context and show that any its element can be represented as a locally trivial bundle with a group of invertible operators in a Hilbert space as the structure group. Finally, we discuss its possible applications in the twisted $K$-theory.",
  "revisions": [
    {
      "version": "v6",
      "updated": "2005-11-18T23:03:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological brauer group",
      "generalization",
      "structure group",
      "homotopy invariants",
      "locally trivial bundle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......1180E"
    }
  }
}