Abstract
We show that the following properties of the C*-algebras in a class Ω are inherited by simple unital C -algebras in the class TAΩ: (1) (m,n)-decomposable, (2) weakly (m,n)-divisible, (3) weak Riesz interpolation. As an application, let A be an infinite dimensional simple unital C*-algebra such that A has one of the above-listed properties. Suppose that α: G → Aut(A) is an action of a finite group G on A which has the tracial Rokhlin property. Then the crossed product C*-algebra C*(G, A, α) also has the property under consideration.
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