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  • A NOTE ON BUNDLE GERBES AND INFINITE-DIMENSIONALITY

  • Part of
  • MICHAEL MURRAY, DANNY STEVENSON
  • Journal:
    Journal of the Australian Mathematical Society / Volume 90 / Issue 1 / February 2011
    Published online by Cambridge University Press:
    22 March 2011, pp. 81-92
    Print publication:
    February 2011
    • Article
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  • Let (P,Y ) be a bundle gerbe over a fibre bundle Y →M. We show that if M is simply connected and the fibres of Y →M are connected and finite-dimensional, then the Dixmier–Douady class of (P,Y ) is torsion. This corrects and extends an earlier result of the first author.