Theory of braided Hopf crossed products

Abstract

We define a type of crossed product over braided Hopf algebras, which generalizes the ones introduced by Blattner, Cohen and Montgomery and Doi and Takeuchi, and we study some of its properties. For instance, we prove a Maschke´s Theorem for these new crossed products and under suitable hypothesis we construct a natural Morita context which extends the one obtained by Cohen, Fischman and Montgomery.