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Type: Journal article
Title: On the existence of bibundles
Author: Murray, M.
Roberts, D.
Stevenson, D.
Citation: Proceedings of the London Mathematical Society, 2012; 105(6):1290-1314
Publisher: London Math Soc
Issue Date: 2012
ISSN: 0024-6115
Statement of
Michael Murray, David Michael Roberts and Danny Stevenson
Abstract: We consider the existence of bibundles, in other words locally trivial principal G spaces with commuting left and right G actions. We show that their existence is closely related to the structure of the group Out(G) of outer automorphisms of G. We also develop a classifying theory for bibundles. The theory is developed in full generality for (H, G) bibundles for a crossed module (H, G) and we show with examples the close links with loop group bundles.
Rights: © 2012 London Mathematical Society
RMID: 0020122416
DOI: 10.1112/plms/pds028
Appears in Collections:Mathematical Sciences publications

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