Amplified graph C-algebras II: Reconstruction

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_\mathbb {K}(E) together with its canonical...

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society. Series B 2022-06, Vol.9 (28), p.297-310
Main Authors: Eilers, Søren, Ruiz, Efren, Sims, Aidan
Format: Article
Language:English
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Summary: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_\mathbb {K}(E) together with its canonical grading.
ISSN:2330-1511
2330-1511
DOI:10.1090/bproc/112