Groupoid Actions on Sets, Duality and a Morita Context
Groupoid Actions on Sets, Duality and a Morita Context
Let G and K be groupoids. We present the notion of a (G_{\alpha},K_{\beta})-set and we prove a duality theorem in this context, which extends the duality theorem for graded algebras by groups. For A a unital G-graded algebra and X a finite split G-set, we show that there is an …