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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Classification of quasi-free compact group actions on Cuntz algebras
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by James Gabe;
Proc. Amer. Math. Soc. 153 (2025), 1205-1207
DOI: https://doi.org/10.1090/proc/17137
Published electronically: January 30, 2025

Abstract:

Quasi-free actions of finite groups on Cuntz algebras $\mathcal O_n$ for $n\geq 2$ are classified up to conjugacy by data in the representation ring. Partial results are obtained for quasi-free actions by compact groups.
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Bibliographic Information
  • James Gabe
  • Affiliation: Department of Mathematics and Computer Science, University of Southern Denmark, 5230 Odense, Denmark
  • MR Author ID: 1065101
  • ORCID: 0000-0002-2503-6988
  • Email: gabe@imada.sdu.dk
  • Received by editor(s): July 30, 2024
  • Received by editor(s) in revised form: September 18, 2024
  • Published electronically: January 30, 2025
  • Additional Notes: This research was supported by DFF grants 1054-00094B and 1026-00371B
  • Communicated by: Matthew Kennedy
  • © Copyright 2025 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 153 (2025), 1205-1207
  • MSC (2020): Primary 46L35, 46L55, 46L80, 20C15
  • DOI: https://doi.org/10.1090/proc/17137