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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Simple $ C\sp *$-algebras with continuous scales and simple corona algebras


Author: Hua Xin Lin
Journal: Proc. Amer. Math. Soc. 112 (1991), 871-880
MSC: Primary 46L05
MathSciNet review: 1079711
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Abstract: It is shown that the corona algebra $ M\left( A \right)/A$ of a separable simple $ {C^ * }$-algebra $ A$ is simple if and only if $ A$ has a continuous scale or $ A$ is elementary. It is also shown that simple $ {C^ * }$-algebras with continuous scales are algebraically simple.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1079711-8
PII: S 0002-9939(1991)1079711-8
Keywords: Simple corona algebras, continuous scales, multipliers
Article copyright: © Copyright 1991 American Mathematical Society