The Toeplitz algebra has nuclear dimension one
| Autor: | Brake, Laura, Winter, Wilhelm |
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| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1112/blms.12250 |
| Popis: | We prove the title by constructing 2-colourable completely positive approximations for the Toeplitz algebra. Besides results about nuclear dimension and completely positive contractive order zero maps, our argument involves projectivity of the cone over a finite dimensional C*-algebra and Lin's theorem on almost normal matrices. Comment: 8 pages |
| Databáze: | arXiv |
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