论文标题

放大图C* - 代数II:重建

Amplified graph C*-algebras II: reconstruction

论文作者

Eilers, Søren, Ruiz, Efren, Sims, Aidan

论文摘要

让$ e $是一个可数的有向图,从某种意义上说,每当$ v $到$ w $的边缘,从$ v $到$ w $都有无限的边缘。我们表明,$ e $可以从$ c^*(e)$以及其规范仪表中回收,也可以从$ l_k(e)$以及其规范分级中回收。

Let $E$ be a countable directed graph that is amplified in the sense that whenever there is an edge from $v$ to $w$, there are infinitely many edges from $v$ to $w$. We show that $E$ can be recovered from $C^*(E)$ together with its canonical gauge-action, and also from $L_K(E)$ together with its canonical grading.

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