On purely infinite $C^ *$-algebras
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- by Ja A Jeong and Sa Ge Lee PDF
- Proc. Amer. Math. Soc. 117 (1993), 679-682 Request permission
Abstract:
We find conditions under which a quotient ${C^{\ast }}$-algebra $A/I$ of a purely infinite ${C^{\ast }}$-algebra $A$ becomes purely infinite. S. Zhang proved that if $A$ is a $\sigma$-unital, simple, purely infinite ${C^{\ast }}$-algebra, then a hereditary ${C^{\ast }}$-subalgebra ${A_x}$ is a stable or unital for each $x$ of ${A_ + }$. We prove the converse for a completely $\sigma$-unital infinite simple ${C^{\ast }}$-algebra.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 679-682
- MSC: Primary 46L05
- DOI: https://doi.org/10.1090/S0002-9939-1993-1113642-1
- MathSciNet review: 1113642