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arXiv · 1005.5370

Brauer groups for commutative $S$-algebras

Andrew Baker·Birgit Richter·Markus Szymik
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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 and cyclic algebras. 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.

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BibTeXRIS

Andrew Baker, Birgit Richter, Markus Szymik. 2010-05-28. Brauer groups for commutative $S$-algebras. https://doi.org/10.1016/j.jpaa.2012.03.001

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