Amplified graph C*-algebras II: reconstruction

2020/07/02 by Eilers, Søren, Ruiz, Efren, Sims, Aidan · 1 citation
#46L35 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2007.00853

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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• Higher-rank graphs and the graded K-theory of Kumjian-Pask Algebras

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