A Galois correspondence for reduced crossed products of unital simple C${}^{\ast }$-algebras by discrete groups

Jan Cameron, Roger R. Smith

Let a discrete group $G$ act on a unital simple C${}^{\ast }$-algebra $A$ by outer automorphisms. We establish a Galois correspondence $H\mapsto A{⋊}_{\alpha ,r}H$ between subgroups of $G$ a…