Abstract
Inspired by recent papers on twisted K-theory, we consider in this article the question of when a twist R over a locally compact Hausdorff groupoid G (with unit space a CW-complex) admits a twisted vector bundle, and we relate this question to the Brauer group of G. We show that the twists which admit twisted vector bundles give rise to a subgroup of the Brauer group of G. When G is an étale groupoid, we establish conditions (involving the classifying space BG of G) which imply that a torsion twist R over G admits a twisted vector bundle.
Original language | English |
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Pages (from-to) | 3767-3779 |
Number of pages | 13 |
Journal | Proceedings of the American Mathematical Society |
Volume | 144 |
Issue number | 9 |
DOIs | |
State | Published - 2016 |