Nuclear dimension and n-comparison
It is shown that if a C*-algebra has nuclear dimension n then its Cuntz semigroup has the property of n-comparison. It then follows from results by Ortega, Perera and Rørdam that σ-unital C*-algebras of finite nuclear dimension (and even of nuclear dimension at most ω) are stable if and only if they...
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| Dokumenttypen: | Artikel |
| Medientypen: | Text |
| Erscheinungsdatum: | 2011 |
| Publikation in MIAMI: | 14.11.2011 |
| Datum der letzten Änderung: | 20.03.2023 |
| Quelle: | Münster Journal of Mathematics, 4 (2011), S. 65-72 |
| Angaben zur Ausgabe: | [Electronic ed.] |
| Fachgebiet (DDC): | 510: Mathematik |
| Lizenz: | InC 1.0 |
| Sprache: | English |
| Format: | PDF-Dokument |
| URN: | urn:nbn:de:hbz:6-32449567498 |
| Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-32449567498 |
| Onlinezugriff: | mjm_vol_4_04.pdf |
It is shown that if a C*-algebra has nuclear dimension n then its Cuntz semigroup has the property of n-comparison. It then follows from results by Ortega, Perera and Rørdam that σ-unital C*-algebras of finite nuclear dimension (and even of nuclear dimension at most ω) are stable if and only if they have no nonzero unital quotients and no nonzero bounded traces.