Applications of $\mathrm{C}^*$-classification
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917132519866368 |
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| author | Jacelon, Bhishan |
| author_facet | Jacelon, Bhishan |
| contents | We provide some background on the category of classifiable $\mathrm{C}^*$-algebras, whose objects are infinite-dimensional, simple, separable, unital $\mathrm{C}^*$-algebras that have finite nuclear dimension and satisfy the universal coefficient theorem, and describe some applications of the classification of objects in, and morphisms into, this category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07993 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Applications of $\mathrm{C}^*$-classification Jacelon, Bhishan Operator Algebras 46L35 We provide some background on the category of classifiable $\mathrm{C}^*$-algebras, whose objects are infinite-dimensional, simple, separable, unital $\mathrm{C}^*$-algebras that have finite nuclear dimension and satisfy the universal coefficient theorem, and describe some applications of the classification of objects in, and morphisms into, this category. |
| title | Applications of $\mathrm{C}^*$-classification |
| topic | Operator Algebras 46L35 |
| url | https://arxiv.org/abs/2403.07993 |