Compact elements and smallest faithful representation of $C^ *$-algebras
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- by Raphael A. Hauser and Heinrich Matzinger
- Proc. Amer. Math. Soc. 123 (1995), 3379-3384
- DOI: https://doi.org/10.1090/S0002-9939-1995-1285995-7
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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.References
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Bibliographic 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