Certain classes of C^*-algebras preserved by tracial approximation

Abstract

We show that the following classes of C^*-algebras in the classes Ω are inherited by simple unital C^*-algebras in the classes TAΩ: (1) simple unital purely infinite C^∗-algebras, (2) unital isometrically rich C^*-algebras, (3) unital Riesz interpolation C^*-algebras.

Keywords

C^*-algebras / isometrically rich C^*-algebras / Riesz interpolation C^*-algebras

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