The real and stable rank of tracially complete C*-algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866913103430549504 |
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| author | Evington, Samuel Tikuisis, Aaron |
| author_facet | Evington, Samuel Tikuisis, Aaron |
| contents | We prove that a factorial tracially complete C*-algebra with CPoU has real rank zero and stable rank one. This leads to an essentially complete description of the Cuntz semigroup of these algebras. In particular, the results of this paper hold for the uniform tracial completions of $\mathcal{Z}$-stable C*-algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_24206 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The real and stable rank of tracially complete C*-algebras Evington, Samuel Tikuisis, Aaron Operator Algebras 46L35 We prove that a factorial tracially complete C*-algebra with CPoU has real rank zero and stable rank one. This leads to an essentially complete description of the Cuntz semigroup of these algebras. In particular, the results of this paper hold for the uniform tracial completions of $\mathcal{Z}$-stable C*-algebras. |
| title | The real and stable rank of tracially complete C*-algebras |
| topic | Operator Algebras 46L35 |
| url | https://arxiv.org/abs/2604.24206 |