Partial-isometric crossed products by semigroups of endomorphisms

Janny Lindiarni, Iain Raeburn

Let ${\Gamma }^{+}$ be the positive cone in a totally ordered abelian group $\Gamma$, and let $\alpha$ be an action of ${\Gamma }^{+}$ by endomorphisms of a $C^{\ast }$-algebra $A$. We consider a new kind of crossed-…