Erweiterte Suche

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 have no nonzero unital quotients and no nonzero bounded traces.

Titel: Nuclear dimension and n-comparison
Verfasser: Robert, Leonel
Organisation: FB 10: Mathematik und Informatik
Dokumenttyp: Artikel
Medientyp: Text
Erscheinungsdatum: 2011
Publikation in MIAMI: 14.11.2011
Datum der letzten Änderung: 08.05.2015
Zeitschrift/Periodikum: Münster Journal of Mathematics / 4 (2011), S. 65 - 72
Fachgebiete: Mathematik
Sprache: Englisch
Format: PDF-Dokument
URN: urn:nbn:de:hbz:6-32449567498
Permalink: https://nbn-resolving.org/urn:nbn:de:hbz:6-32449567498
Onlinezugriff: