Universal C*-algebras generated by doubly non-commuting isometries
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913602833743872 |
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| author | de Jeu, Marcel Kuzmin, Alexey Pinto, Paulo R. |
| author_facet | de Jeu, Marcel Kuzmin, Alexey Pinto, Paulo R. |
| contents | We give an explicit injective representation of the universal $\mathrm{C}^\ast$-algebra that is generated by doubly non-commuting isometries. This injectivity allows us to prove that such universal algebras embed naturally into each other and also, when combined with Rieffel's theory of deformation, to show that they are nuclear and to compute their K-theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_06422 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Universal C*-algebras generated by doubly non-commuting isometries de Jeu, Marcel Kuzmin, Alexey Pinto, Paulo R. Operator Algebras 46L35, 46K10, 46L65, 46L80 We give an explicit injective representation of the universal $\mathrm{C}^\ast$-algebra that is generated by doubly non-commuting isometries. This injectivity allows us to prove that such universal algebras embed naturally into each other and also, when combined with Rieffel's theory of deformation, to show that they are nuclear and to compute their K-theory. |
| title | Universal C*-algebras generated by doubly non-commuting isometries |
| topic | Operator Algebras 46L35, 46K10, 46L65, 46L80 |
| url | https://arxiv.org/abs/2412.06422 |