ABSTRACT

In [B2], a right crossed product is defined which generalizes the right smash product [D2], [B1], in the same way that the crossed product construction of Sweedler [S1], Doi and Takeuchi [DT], and Blattner, Cohen and Montgomery [BCM] generalizes the smash product A#H of a left H-module algebra A with a Hopf algebra H. The focus of [B2] was on duality results; if a classical crossed product is also a right crossed product then several technical assumptions in the duality theorems of Koppinen and Chen [K], [C], hold, and so duality statements hold for these crossed products.