Strongly Self-Absorbing C*-algebras which contain a nontrivial projection
classification
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keywords
self-absorbingstronglyalgebrasalgebranontrivialprojectionabsorbsautomatic
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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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