Finiteness of metrics on state spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916132134322176 |
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| author | Kyed, David Nest, Ryszard |
| author_facet | Kyed, David Nest, Ryszard |
| contents | We show that Connes' metric on the state space associated with a spectral triple is nowhere infinite exactly when it is globally bounded. Moreover, we produce a family of simple examples showing that this is not automatically the case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_02254 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Finiteness of metrics on state spaces Kyed, David Nest, Ryszard Operator Algebras 58B34, 46L89, 46L30 We show that Connes' metric on the state space associated with a spectral triple is nowhere infinite exactly when it is globally bounded. Moreover, we produce a family of simple examples showing that this is not automatically the case. |
| title | Finiteness of metrics on state spaces |
| topic | Operator Algebras 58B34, 46L89, 46L30 |
| url | https://arxiv.org/abs/2305.02254 |