Strongly Self-Absorbing C*-algebras which contain a nontrivial projection

Details Strongly Self-Absorbing C*-algebras which contain a nontrivial projection Strongly Self-Absorbing C*-algebras which contain a nontrivial projection

2009-02-23

arxiv.org/abs/0902.3886v1

Mathematics

Operator Algebras

10 pages

Scientific paper

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.

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