Equivariant Brauer groups (Q2704198)

The authors discuss the construction of the equivariant Brauer group for algebras over a commutative ring \(R\) that admit an action by a group \(\Gamma\). They first consider abstract \(\Gamma\)-graded monoidal categories, and then interpret their results for graded categories of modules that arise from \(\Gamma\)-graded \(R\)-algebras. This leads to the definition of the equivariant Brauer group, and to several exact sequences that provide information about it.NEWLINENEWLINEFor the entire collection see [Zbl 0956.00036].