Quantum Symmetries of Noncommutative Tori

Evans, David E. and Jones, Corey 2024. Quantum Symmetries of Noncommutative Tori. [Online]. arXiv. Available at: https://doi.org/10.48550/arXiv.2404.14466

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Abstract

We consider the problem of building non-invertible quantum symmetries (as characterized by actions of unitary fusion categories) on noncommutative tori. We introduce a general method to construct actions of fusion categories on inductive limit C*-algberas using finite dimenionsal data, and then apply it to obtain AT-actions of arbitrary Haagerup-Izumi categories on noncommutative 2-tori, of the even part of the E8 subfactor on a noncommutative 3-torus, and of PSU(2)15 on a noncommutative 4-torus.

Item Type:	Website Content
Date Type:	Published Online
Status:	Submitted
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	arXiv
Funders:	Leverhulme, NSF
Last Modified:	04 Jul 2024 08:44
URI:	https://orca.cardiff.ac.uk/id/eprint/168263

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