Amplified graph C*-algebras II: Reconstruction

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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 LK(E) together with its canonical grading.

OriginalsprogEngelsk
TidsskriftProceedings of the American Mathematical Society
Vol/bind9
Sider (fra-til)297-310
ISSN0002-9939
DOI
StatusUdgivet - 2022

Bibliografisk note

Funding Information:
Received by the editors July 7, 2020, and, in revised form, September 30, 2021. 2020 Mathematics Subject Classification. Primary 46L35. Key words and phrases. Amplified graph, graph C∗-algebra. This research was supported by Australian Research Council Discovery Project DP200100155, by DFF-Research Project 2 ‘Automorphisms and Invariants of Operator Algebras’, no. 7014-00145B, and by a Simons Foundation Collaboration Grant, #567380.

Publisher Copyright:
© 2022 by the author(s) under Creative Commons Attribution 3.0 License.

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