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arXiv · 2007.00853

Amplified graph C*-algebras II: reconstruction

Søren Eilers·Efren Ruiz·Aidan Sims
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Abstract

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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Søren Eilers, Efren Ruiz, Aidan Sims. 2020-07-02. Amplified graph C*-algebras II: reconstruction. https://arxiv.org/abs/2007.00853

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