Nuclearity and CPC*-systems
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866917796620795904 |
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| author | Courtney, Kristin Winter, Wilhelm |
| author_facet | Courtney, Kristin Winter, Wilhelm |
| contents | We write arbitrary separable nuclear C*-algebras as limits of inductive systems of finite-dimensional C*-algebras with completely positive connecting maps. The characteristic feature of such CPC*-systems is that the maps become more and more orthogonality preserving. This condition makes it possible to equip the limit, a priori only an operator space, with a multiplication turning it into a C*-algebra. Our concept generalizes the NF systems of Blackadar and Kirchberg beyond the quasidiagonal case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_01332 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nuclearity and CPC*-systems Courtney, Kristin Winter, Wilhelm Operator Algebras 46L05 We write arbitrary separable nuclear C*-algebras as limits of inductive systems of finite-dimensional C*-algebras with completely positive connecting maps. The characteristic feature of such CPC*-systems is that the maps become more and more orthogonality preserving. This condition makes it possible to equip the limit, a priori only an operator space, with a multiplication turning it into a C*-algebra. Our concept generalizes the NF systems of Blackadar and Kirchberg beyond the quasidiagonal case. |
| title | Nuclearity and CPC*-systems |
| topic | Operator Algebras 46L05 |
| url | https://arxiv.org/abs/2304.01332 |