, Volume 195, Issue 2, pp 545-563

Some C*-algebras properties preserved by tracial approximation

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Abstract

We show that the Riesz interpolation property of the K 0-monoid of C*-algebras in the class Ω is inherited by simple unital C*-algebras in the class TAΩ, and the property of being an admissible target algebras of finite type in the class of Ω is inherited by unital C*-algebras in the class TAΩ.

Supported by the National Natural Science Foundation of China Grant No. (11101268 and 11071159) and supported by Innovation Program of Shanghai Municipal Education Commission No. (13YZ088).