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

Consider the pair $(G,P)$ consisting of an abelian lattice-ordered discretegroup $G$ and its positive cone $P$. Let $\alpha$ be an action of $P$ byextendible endomorphisms of a $C^*$-algebra $A$. We show that the Nica-Toeplitzalgebra $\mathcal{T}_{\textrm{cov}}(A\times_{\alpha} P)$ is a full corner of agroup crossed product $\mathcal{B}\rtimes_{\beta}G$, where $\mathcal{B}$ is asubalgebra of $\ell^{\infty}(G,A)$ generated by a collection of faithful copiesof $A$, and the action $\beta$ on $\mathcal{B}$ is given by the shift on$\ell^{\infty}(G,A)$. By using this realization, we show that the ideal$\mathcal{I}$ of $\mathcal{T}_{\textrm{cov}}(A\times_{\alpha} P)$ for which thequotient algebra $\mathcal{T}_{\textrm{cov}}(A\times_{\alpha} P)/\mathcal{I}$is the isometric crossed product $A\times_{\alpha}^{\textrm{iso}} P$ is also afull corner in an ideal $\mathcal{J}\rtimes_{\beta}G$ of$\mathcal{B}\rtimes_{\beta}G$.

The Nica-Toeplitz algebras of dynamical systems over abelian lattice-ordered groups as full corners