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Using different descriptions of the Cuntz semigroup and of the Pedersen ideal, it is shown that $\sigma$-unital simple $C^*$-algebras with almost unperforated Cuntz semigroup, a unique lower semicontinuous $2$-quasitrace and… Click to show full abstract
Using different descriptions of the Cuntz semigroup and of the Pedersen ideal, it is shown that $\sigma$-unital simple $C^*$-algebras with almost unperforated Cuntz semigroup, a unique lower semicontinuous $2$-quasitrace and whose stabilization has almost stable rank $1$ are either stable or algebraically simple.
Keywords:
lower semicontinuous;
unique lower;
simple algebras;
remarks simple;
semicontinuous quasitrace
Journal Title: Colloquium Mathematicum
Year Published: 2021
Link to full text (if available)
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Journal Title: Colloquium Mathematicum
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!