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...

Verfasser: Dadarlat, Marius
Rørdam, Mikael
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.