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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Simple $C^ *$-algebras with continuous scales and simple corona algebras
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by Hua Xin Lin PDF
Proc. Amer. Math. Soc. 112 (1991), 871-880 Request permission

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
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 112 (1991), 871-880
  • MSC: Primary 46L05
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1079711-8
  • MathSciNet review: 1079711