Simple corona 𝐶*-algebras

Lin, Huaxin

doi:10.1090/S0002-9939-04-07607-5

Simple corona -algebras

Author: Huaxin Lin
Journal: Proc. Amer. Math. Soc. 132 (2004), 3215-3224
MSC (2000): Primary 46L05
DOI: https://doi.org/10.1090/S0002-9939-04-07607-5
Published electronically: June 16, 2004
MathSciNet review: 2073295
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Abstract: Let be a non-unital and $\sigma$ -unital simple -algebra. We show that if is simple, then is purely infinite. We also show that is simple if and only if has a continuous scale provided that is not isomorphic to ${\mathcal K},$ the compact operators.

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