Twists over étale groupoids and twisted vector bundles
Proceedings of the American Mathematical Society, ISSN: 1088-6826, Vol: 144, Issue: 9, Page: 3767-3779
2016
- 1Citations
- 1Captures
Metric Options: Counts1 Year3 YearSelecting the 1-year or 3-year option will change the metrics count to percentiles, illustrating how an article or review compares to other articles or reviews within the selected time period in the same journal. Selecting the 1-year option compares the metrics against other articles/reviews that were also published in the same calendar year. Selecting the 3-year option compares the metrics against other articles/reviews that were also published in the same calendar year plus the two years prior.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Article Description
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.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84975114123&origin=inward; http://dx.doi.org/10.1090/proc/13165; https://www.ams.org/proc/2016-144-09/S0002-9939-2016-13165-1/; https://dx.doi.org/10.1090/proc/13165; https://www.ams.org/journals/proc/2016-144-09/S0002-9939-2016-13165-1/
American Mathematical Society (AMS)
Provide Feedback
Have ideas for a new metric? Would you like to see something else here?Let us know