Brauer groups for commutative -algebras

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• 作者：Andrew Baker^a ; ^{a.baker@maths.gla.ac.uk} ; ; Birgit Richter^b ; ^{richter@math.uni-hamburg.de} ; ; Markus Szymik^c ; ^{szymik@math.uni-duesseldorf.de} ;
• 关键词：Primary ; 55P43 ; Secondary ; 11R52 ; 11R32
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2012
• 出版时间：November, 2012
• 年：2012
• 卷：216
• 期：11
• 页码：2361-2376
• 全文大小：325 K

文摘

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 -local variant of the notion of Brauer groups.