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A note on bundle gerbes and infinite-dimensionality

Abstract

Let (P,Y)(P, Y) be a bundle gerbe over a fibre bundle YMY \to M. We show that if MM is simply-connected and the fibres of YMY \to M are connected and finite-dimensional then the Dixmier-Douady class of (P,Y)(P, Y) is torsion. This corrects and extends an earlier result of the first author

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