{
  "id": "0811.0771",
  "version": "v4",
  "published": "2008-11-05T16:42:36.000Z",
  "updated": "2009-08-19T21:31:32.000Z",
  "title": "Continuous trace C*-algebras, gauge groups and rationalization",
  "authors": [
    "John R. Klein",
    "Claude L. Schochet",
    "Samuel B. Smith"
  ],
  "comment": "Final version. To appear in J. of Topology and Analysis. Garbled text in abstract removed",
  "categories": [
    "math.AT",
    "math.KT"
  ],
  "abstract": "Let \\zeta be an n-dimensional complex matrix bundle over a compact metric space X and let A_\\zeta denote the C*-algebra of sections of this bundle. We determine the rational homotopy type as an H-space of UA_\\zeta, the group of unitaries of A_\\zeta. The answer turns out to be independent of the bundle \\zeta and depends only upon n and the rational cohomology of X. We prove analogous results for the gauge group and the projective gauge group of a principal bundle over a compact metric space X.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2009-08-19T21:31:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46J05",
      "46L85",
      "55P62",
      "54C35",
      "55P15",
      "55P45"
    ],
    "keywords": [
      "gauge group",
      "continuous trace",
      "compact metric space",
      "rationalization",
      "n-dimensional complex matrix bundle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.0771K"
    }
  }
}