Z-stability, finite dimensional tracial boundaries and continuous rank functions
We observe that a recent theorem of Sato, Toms–White–Winter and Kirchberg–Rørdam also holds for certain nonunital C*-algebras. Namely, we show that an algebraically simple, separable, nuclear, nonelementary C*-algebra with strict comparison, whose cone of densely finite traces has as a base a Choque...
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| Dokumenttypen: | Artikel |
| Erscheinungsdatum: | 2013 |
| Publikation in MIAMI: | 05.05.2014 |
| Datum der letzten Änderung: | 06.09.2022 |
| Quelle: | Münster Journal of Mathematics, 6 (2013), S. 583-594 |
| Angaben zur Ausgabe: | [Electronic ed.] |
| Fachgebiet (DDC): | 510: Mathematik |
| Lizenz: | InC 1.0 |
| Sprache: | English |
| Format: | PDF-Dokument |
| URN: | urn:nbn:de:hbz:6-55309456690 |
| Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-55309456690 |
| Onlinezugriff: | MJM_2013_6_583-594.pdf |
We observe that a recent theorem of Sato, Toms–White–Winter and Kirchberg–Rørdam also holds for certain nonunital C*-algebras. Namely, we show that an algebraically simple, separable, nuclear, nonelementary C*-algebra with strict comparison, whose cone of densely finite traces has as a base a Choquet simplex with compact, finite dimensional extreme boundary, and which admits a continuous rank function, tensorially absorbs the Jiang–Su algebra Z.