论文标题
简单的C*-ergebras中的曲折近似
Tracial approximation in simple C*-algebras
论文作者
论文摘要
我们重新审视了一个简单C* - 代数的曲折近似概念。我们表明,当且仅当A在简单的核Z稳定C*-algebras类别中渐近地渐近地在渐近的核尺寸时,在具有有限的核尺寸的C* - 代数中,一个渐近的c* - 代数中渐近地是渐近地在渐近的核z稳定c* - 代理层中渐近的核尺寸时,是渐近的。
We revisit the notion of tracial approximation for unital simple C*-algebras. We show that a unital simple separable C*-algebra A is asymptotically tracially in the class of C*-algebras with finite nuclear dimension if and only if A is asymptotically tracially in the class of simple nuclear Z-stable C*-algebras.