C*-diagonals with Cantor spectrum in Cuntz algebras
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918349919748096 |
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| author | Evington, Samuel Sibbel, Philipp |
| author_facet | Evington, Samuel Sibbel, Philipp |
| contents | We prove that there exists a C*-diagonal with Cantor spectrum in the Cuntz algebra $\mathcal{O}_k$ for $2 \le k < \infty$. Our method generalises to an uncountable family of UCT Kirchberg algebras with distinct K-theory. Moreover, we construct principal étale groupoid models for these Cuntz algebras and UCT Kirchberg algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22163 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | C*-diagonals with Cantor spectrum in Cuntz algebras Evington, Samuel Sibbel, Philipp Operator Algebras 46L05, 46L80, 22A22 We prove that there exists a C*-diagonal with Cantor spectrum in the Cuntz algebra $\mathcal{O}_k$ for $2 \le k < \infty$. Our method generalises to an uncountable family of UCT Kirchberg algebras with distinct K-theory. Moreover, we construct principal étale groupoid models for these Cuntz algebras and UCT Kirchberg algebras. |
| title | C*-diagonals with Cantor spectrum in Cuntz algebras |
| topic | Operator Algebras 46L05, 46L80, 22A22 |
| url | https://arxiv.org/abs/2506.22163 |