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A note on bundle gerbes and infinite-dimensionality. (English) Zbl 1236.53025

Summary: Let (\(P,Y \)) be a bundle gerbe over a fibre bundle \(Y \rightarrow M\). We show that, if \(M\) is simply connected and the fibres of \(Y \rightarrow M\) 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.

MSC:

53C08 Differential geometric aspects of gerbes and differential characters
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