The admissible KMS bundles on classifiable C$^*$-algebras
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917838155939840 |
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| author | Neagu, Robert |
| author_facet | Neagu, Robert |
| contents | Given any unital, finite, classifiable C$^*$-algebra $A$ with real rank zero and any compact simplex bundle with the fibre at zero being homeomorphic to the space of tracial states on $A$, we show that there exists a flow on $A$ realising this simplex. Moreover, we show that given any unital UCT Kirchberg algebra $A$ and any proper simplex bundle with empty fibre at zero, there exists a flow on $A$ realising this simplex. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14096 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The admissible KMS bundles on classifiable C$^*$-algebras Neagu, Robert Operator Algebras 46L30, 46L35, 46L05 Given any unital, finite, classifiable C$^*$-algebra $A$ with real rank zero and any compact simplex bundle with the fibre at zero being homeomorphic to the space of tracial states on $A$, we show that there exists a flow on $A$ realising this simplex. Moreover, we show that given any unital UCT Kirchberg algebra $A$ and any proper simplex bundle with empty fibre at zero, there exists a flow on $A$ realising this simplex. |
| title | The admissible KMS bundles on classifiable C$^*$-algebras |
| topic | Operator Algebras 46L30, 46L35, 46L05 |
| url | https://arxiv.org/abs/2401.14096 |