The primitive ideal space of the partial-isometric crossed product of a system by a single automorphism

Abstract

Let $(A,\alpha )$ be a system consisting of a $C^{\ast }$-algebra $A$ and an automorphism $\alpha$ of $A$. We describe the primitive ideal space of the partial-isometric crossed product $A{\times }_{\alpha }^{\text{piso}}\mathbb{N}$ of the system by using its realization as a full corner of a classical crossed product and applying some results of Williams and Echterhoff.

to appear in The Rocky Mountain Journal of Mathematics