The equivariant Brauer group of a group

S. Caenepeel, F. Van Oystaeyen, Y. H. Zhang
2005 Proceedings of the American Mathematical Society  
We consider the Brauer group BM (k, G) of a group G (finite or infinite) over a commutative ring k with identity. A split exact sequence is obtained. This generalizes the Fröhlich-Wall exact sequence from the case of a field to the case of a commutative ring, and generalizes the Picco-Platzeck exact sequence from the finite case of G to the infinite case of G. Here Br (k) is the Brauer-Taylor group of Azumaya algebras (not necessarily with unit). The method developed in this paper might provide
more » ... a key to computing the equivariant Brauer group of an infinite quantum group.
doi:10.1090/s0002-9939-05-08041-x fatcat:croatcj33nfvdfbstq75rfsn4y