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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