Baker, A.J. , Richter, B. and Szymik, M. (2012) Brauer groups for commutative S-algebras. Journal of Pure and Applied Algebra, 216(11), pp. 2361-2376. (doi: 10.1016/j.jpaa.2012.03.001)
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Publisher's URL: http://dx.doi.org/10.1016/j.jpaa.2012.03.001
Abstract
We investigate a notion of Azumaya algebras in the context of structured ring spectra and give a definition of Brauer groups. We investigate their Galois theoretic properties and discuss examples of Azumaya algebras arising from Galois descent. We construct examples that are related to topological Hochschild cohomology of group ring spectra and we present a K(n)-local variant of the notion of Brauer groups.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Baker, Dr Andrew |
| Authors: | Baker, A.J., Richter, B., and Szymik, M. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Research Group: | Geometry & Topology |
| Journal Name: | Journal of Pure and Applied Algebra |
| ISSN: | 0022-4049 |
| ISSN (Online): | 1873-1376 |
| Published Online: | 29 March 2012 |
| Related URLs: |
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