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

2018/06/21 by Bassi, Jacopo · 1 citation
#46L05 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1806.08288

Abstract

Using different descriptions of the Cuntz semigroup and of the Pedersen ideal, it is shown that σ-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.

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