Continuous fields of interval algebras
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912807212023808 |
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| author | Cantier, Laurent |
| author_facet | Cantier, Laurent |
| contents | This paper investigates and classifies a specific class of one-parameter continuous fields of C*-algebras, which can be seen as generalized AI-algebras. Building on the classification of *-homomorphisms between interval algebras by the Cuntz semigroup, along with a selection theorem and a gluing procedure, we employ a 'local-to-global' strategy to achieve our classification result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_10328 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Continuous fields of interval algebras Cantier, Laurent Operator Algebras This paper investigates and classifies a specific class of one-parameter continuous fields of C*-algebras, which can be seen as generalized AI-algebras. Building on the classification of *-homomorphisms between interval algebras by the Cuntz semigroup, along with a selection theorem and a gluing procedure, we employ a 'local-to-global' strategy to achieve our classification result. |
| title | Continuous fields of interval algebras |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2504.10328 |