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Proceedings of the American Mathematical Society Series B

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society Series B (BPROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 2330-1511

The 2020 MCQ for Proceedings of the American Mathematical Society Series B is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Amplified graph C*-algebras II: Reconstruction
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by Søren Eilers, Efren Ruiz and Aidan Sims HTML | PDF
Proc. Amer. Math. Soc. Ser. B 9 (2022), 297-310

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 $L_\mathbb {K}(E)$ together with its canonical grading.
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Additional Information
  • Søren Eilers
  • Affiliation: Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark
  • MR Author ID: 609837
  • ORCID: 0000-0002-3009-0524
  • Email: eilers@math.ku.dk
  • Efren Ruiz
  • Affiliation: Department of Mathematics, University of Hawaii, Hilo, 200W. Kawili St., Hilo, Hawaii 96720-4091
  • MR Author ID: 817213
  • ORCID: 0000-0002-3009-0524
  • Email: ruize@hawaii.edu
  • Aidan Sims
  • Affiliation: School of Mathematics and Applied Statistics, The University of Wollongong, NSW 2522, Australia
  • MR Author ID: 671497
  • ORCID: 0000-0002-1965-6451
  • Email: asims@uow.edu.au
  • Received by editor(s): July 7, 2020
  • Received by editor(s) in revised form: September 30, 2021
  • Published electronically: June 28, 2022
  • Additional Notes: 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.
  • Communicated by: Adrian Ioana
  • © Copyright 2022 by the authors under Creative Commons Attribution 3.0 License (CC BY 3.0)
  • Journal: Proc. Amer. Math. Soc. Ser. B 9 (2022), 297-310
  • MSC (2020): Primary 46L35
  • DOI: https://doi.org/10.1090/bproc/112
  • MathSciNet review: 4446255