Ideal structure of crossed products by endomorphisms via reversible extensions of $C^{\ast }$-dynamical systems

B. K. Kwasniewski

We consider an extendible endomorphism $\alpha$ of a $C^{\ast }$-algebra $A$. We associate to it a canonical $C^{\ast }$-dynamical system $(B,\beta )$ that extends $(A,\alpha )$ and is `reversible' in the sen…