Arveson's hyperrigidity conjecture is false
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866911838532272128 |
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| author | Bilich, Boris Dor-On, Adam |
| author_facet | Bilich, Boris Dor-On, Adam |
| contents | Arveson's hyperrigidity conjecture predicts that if the non-commutative Choquet boundary of a separable operator system $\mathcal{S}$ is the entire spectrum of its generated C*-algebra $\mathcal{B}$ then $\mathcal{S}$ is hyperrigid in $\mathcal{B}$. We provide a counterexample to the conjecture with a C*-algebra $\mathcal{B}$ of type I generated by a single operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05018 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Arveson's hyperrigidity conjecture is false Bilich, Boris Dor-On, Adam Operator Algebras Functional Analysis Primary: 46L07, 47A20, Secondary: 46L52, 47L55 Arveson's hyperrigidity conjecture predicts that if the non-commutative Choquet boundary of a separable operator system $\mathcal{S}$ is the entire spectrum of its generated C*-algebra $\mathcal{B}$ then $\mathcal{S}$ is hyperrigid in $\mathcal{B}$. We provide a counterexample to the conjecture with a C*-algebra $\mathcal{B}$ of type I generated by a single operator. |
| title | Arveson's hyperrigidity conjecture is false |
| topic | Operator Algebras Functional Analysis Primary: 46L07, 47A20, Secondary: 46L52, 47L55 |
| url | https://arxiv.org/abs/2404.05018 |