Strongly self-absorbing C*-algebras which contain a nontrivial projection
It is shown that a strongly self-absorbing C*-algebra is of real rank zero and absorbs the Jiang-Su algebra if it contains a nontrivial projection. We also consider cases where the UCT is automatic for strongly self-absorbing C*-algebras, and K-theoretical ways of characterizing when Kirchberg algeb...
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FB/Einrichtung: | FB 10: Mathematik und Informatik |
Dokumenttypen: | Artikel |
Medientypen: | Text |
Erscheinungsdatum: | 2009 |
Publikation in MIAMI: | 20.08.2009 |
Datum der letzten Änderung: | 27.04.2022 |
Quelle: | Münster Journal of Mathematics, 2 (2009), S. 35-44 |
Angaben zur Ausgabe: | [Electronic ed.] |
Fachgebiet (DDC): | 510: Mathematik |
Lizenz: | InC 1.0 |
Sprache: | English |
Format: | PDF-Dokument |
URN: | urn:nbn:de:hbz:6-10569521260 |
Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-10569521260 |
Onlinezugriff: | mjm_vol_2_03.pdf |
It is shown that a strongly self-absorbing C*-algebra is of real rank zero and absorbs the Jiang-Su algebra if it contains a nontrivial projection. We also consider cases where the UCT is automatic for strongly self-absorbing C*-algebras, and K-theoretical ways of characterizing when Kirchberg algebras are strongly self-absorbing.