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Remarks on some simple $C^*$-algebras admitting a unique lower semicontinuous 2-quasitrace

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Published in 2021 at "Colloquium Mathematicum"

DOI: 10.4064/cm8171-3-2020

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… read more here.

Keywords: lower semicontinuous; unique lower; simple algebras; remarks simple ... See more keywords