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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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Compact elements and smallest faithful representation of $C^ *$-algebras
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by Raphael A. Hauser and Heinrich Matzinger PDF
Proc. Amer. Math. Soc. 123 (1995), 3379-3384 Request permission

Abstract:

Let A be a ${C^ \ast }$-algebra which either allows a faithful separable representation or is postliminal. We prove that A then admits a smallest faithful representation if and only if the ideal of compact elements is an essential ideal in A.
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 3379-3384
  • MSC: Primary 46L05; Secondary 47B10
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1285995-7
  • MathSciNet review: 1285995