The K-Theory of a Simple Separable Exact C*-Algebra Not Isomorphic to Its Opposite Algebra
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2013
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| _version_ | 1866917587890208768 |
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| author | Phillips, N. Christopher Viola, Maria Grazia |
| author_facet | Phillips, N. Christopher Viola, Maria Grazia |
| contents | We construct uncountably many mutually nonisomorphic simple separable stably finite unital exact C$^\ast$-algebras which are not isomorphic to their opposite algebras. In particular, we prove that there are uncountably many possibilities for the $K_0$-group, the $K_1$-group, and the tracial state space of such an algebra. We show that these C*-algebras satisfy the Universal Coefficient Theorem. This is new even for the already known example of an exact C*-algebra nonisomorphic to its opposite algebra produced in earlier work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1309_4142 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | The K-Theory of a Simple Separable Exact C*-Algebra Not Isomorphic to Its Opposite Algebra Phillips, N. Christopher Viola, Maria Grazia Operator Algebras 46L35 (Primary) 46L37, 46L40, 46L54 (Secondary) We construct uncountably many mutually nonisomorphic simple separable stably finite unital exact C$^\ast$-algebras which are not isomorphic to their opposite algebras. In particular, we prove that there are uncountably many possibilities for the $K_0$-group, the $K_1$-group, and the tracial state space of such an algebra. We show that these C*-algebras satisfy the Universal Coefficient Theorem. This is new even for the already known example of an exact C*-algebra nonisomorphic to its opposite algebra produced in earlier work. |
| title | The K-Theory of a Simple Separable Exact C*-Algebra Not Isomorphic to Its Opposite Algebra |
| topic | Operator Algebras 46L35 (Primary) 46L37, 46L40, 46L54 (Secondary) |
| url | https://arxiv.org/abs/1309.4142 |