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...

Authors: Dadarlat, Marius
Rørdam, Mikael
Division/Institute:FB 10: Mathematik und Informatik
Document types:Article
Media types:Text
Publication date:2009
Date of publication on miami:20.08.2009
Modification date:17.04.2015
Source:Münster Journal of Mathematics, 2 (2009), S. 35-44
Edition statement:[Electronic ed.]
DDC Subject:510: Mathematik
License:InC 1.0
Language:English
Format:PDF document
URN:urn:nbn:de:hbz:6-10569521260
Permalink:http://nbn-resolving.de/urn:nbn:de:hbz:6-10569521260
Digital documents: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.