Twists over étale groupoids and twisted vector bundles

Carla Farsi, Elizabeth Gillaspy

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)3767-3779
Number of pages13
JournalProceedings of the American Mathematical Society
Volume144
Issue number9
DOIs
StatePublished - 2016

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