Principal groupoid models for stable UCT Kirchberg algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918529778843648 |
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| author | Evington, Samuel Sibbel, Philipp |
| author_facet | Evington, Samuel Sibbel, Philipp |
| contents | We show that every stable UCT Kirchberg algebra has a principal étale groupoid model, and thus contains a C$^*$-diagonal. Every unital UCT Kirchberg algebra $A$ for which $[1_A]_0$ has infinite order in $K_0(A)$ is also covered by our methods. In particular, we obtain a principal étale groupoid model for the Cuntz algebra $\mathcal{O}_\infty$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_30147 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Principal groupoid models for stable UCT Kirchberg algebras Evington, Samuel Sibbel, Philipp Operator Algebras 46L05, 46L80, 22A22 We show that every stable UCT Kirchberg algebra has a principal étale groupoid model, and thus contains a C$^*$-diagonal. Every unital UCT Kirchberg algebra $A$ for which $[1_A]_0$ has infinite order in $K_0(A)$ is also covered by our methods. In particular, we obtain a principal étale groupoid model for the Cuntz algebra $\mathcal{O}_\infty$. |
| title | Principal groupoid models for stable UCT Kirchberg algebras |
| topic | Operator Algebras 46L05, 46L80, 22A22 |
| url | https://arxiv.org/abs/2605.30147 |