关于具有唯一下半连续$2$ -拟迹的单$C^*$ -代数的注记
Remarks on some simple $C^*$-algebras admitting a unique lower semicontinuous $2$-quasitrace
摘要：
利用Cuntz半群和Pedersen理想的不同描述，证明了具有几乎无孔Cuntz半群，唯一的下半连续$2$ -拟迹，且其稳定化具有几乎稳定秩$1$的$σ$-有单位元的单$C^*$ -代数是稳定的或代数单的.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
