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Twisted partial actions and the Brauer group

Abstract

During the visit of Professor Antonio Paques we are going to continue our study of twisted partial actions of Hopf algebras and apply the theory of partial actions to the Brauer groups of commutative rings. In particular, as one of the goals, we shall investigate the globalization problem of twisted partial actions of Hopf algebras on algebras. As a second goal we shall study the relation between the relative Brauer group of a partial Galois extension of commutative rings and the group formed by the equivalence classes of all twistings of the partial action. (AU)