Quasidiagonal $C^\ast$-algebras and Nonstandard Analysis
| dc.creator | Thayer, F. Javier | |
| dc.date | 2002-09-23 | |
| dc.date | 2002-12-13 | |
| dc.date.accessioned | 2026-07-07T04:51:07Z | |
| dc.date.available | 2026-07-07T04:51:07Z | |
| dc.description | Suppose B is an ultraproduct of finite dimensional C^\ast-algebras. We consider mapping and injectability properties for separable C^\ast-algebras into B. In the case of approximately finite C^\ast-algebras, we obtain a classification of these mappings up to inner conjugacy. Using a Theorem of Voiculescu, we show that for nuclear C^\ast-algebras injectability into an ultraproduct of finite dimensional C^\ast-algebras is equivalent to quasidiagonality. | |
| dc.description | 18 pages Revised introduction, bibliography. Added other corrections | |
| dc.identifier | https://arxiv.org/abs/math/0209292 | |
| dc.identifier | http://arxiv.org/abs/math/0209292 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65034 | |
| dc.subject | Operator Algebras | |
| dc.subject | Logic | |
| dc.subject | 47L40; 46L07; 26E35 | |
| dc.title | Quasidiagonal $C^\ast$-algebras and Nonstandard Analysis | |
| dc.type | text |