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
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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.References
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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