Generic classification of the quasi-free flows on the Cuntz algebra $\mathcal{O}_2$
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912562841387008 |
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| author | Neagu, Robert |
| author_facet | Neagu, Robert |
| contents | In this article we show that the quasi-free flows on the Cuntz algebra $\mathcal{O}_2$ are generically classifiable by the inverse temperature of their unique KMS state. Along the way, we show that a large class of quasi-free flows on the Cuntz algebra $\mathcal{O}_n$ are generically equivariantly $\mathcal{Z}$-stable and their corresponding dual action has the Rokhlin property generically. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00829 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generic classification of the quasi-free flows on the Cuntz algebra $\mathcal{O}_2$ Neagu, Robert Operator Algebras Dynamical Systems 46L55, 46L40 In this article we show that the quasi-free flows on the Cuntz algebra $\mathcal{O}_2$ are generically classifiable by the inverse temperature of their unique KMS state. Along the way, we show that a large class of quasi-free flows on the Cuntz algebra $\mathcal{O}_n$ are generically equivariantly $\mathcal{Z}$-stable and their corresponding dual action has the Rokhlin property generically. |
| title | Generic classification of the quasi-free flows on the Cuntz algebra $\mathcal{O}_2$ |
| topic | Operator Algebras Dynamical Systems 46L55, 46L40 |
| url | https://arxiv.org/abs/2509.00829 |