English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Suppose $\Gamma^{+}$ is the positive cone of a totally ordered abelian group$\Gamma$, and $(A,\Gamma^{+},\alpha)$ is a system consisting of a $C^*$-algebra$A$, an action $\alpha$ of $\Gamma^{+}$ by extendible endomorphisms of $A$. Weprove that the partial-isometric crossed product$A\times_{\alpha}^{\piso}\Gamma^{+}$ is a full corner in the subalgebra of$\L(\ell^{2}(\Gamma^{+},A))$, and that if $\alpha$ is an action byautomorphisms of $A$, then it is the isometric-crossed product$(B_{\Gamma^{+}}\otimes A)\times^{\iso}\Gamma^{+}$, which is therefore a fullcorner in the usual crossed product of system by a group of automorphisms. Weuse these realizations to identify the ideal of$A\times_{\alpha}^{\piso}\Gamma^{+}$ such that the quotient is the isometriccrossed product $A\times_{\alpha}^{\iso}\Gamma^{+}$.

The Partial-Isometric Crossed Products by Semigroups of Endomorphisms as Full Corners