Remarks on some simple $C^*$-algebras admitting a unique lower semicontinuous 2-quasitrace
نویسندگان
چکیده
Using different descriptions of the Cuntz semigroup and Pedersen ideal, it is shown that $\sigma$-unital simple $C^*$-algebras with almost unperforated semigroup, a unique lower semicontinuous $2$-quasitrace whose stabilization has stable rank $1$ are either or algebraically simple.
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 2021
ISSN: ['0010-1354', '1730-6302']
DOI: https://doi.org/10.4064/cm8171-3-2020