Uniform property Γ for certain C*-algebras

In this paper, let A be an infinite-dimensional stably finite unital simple separable C*-algebra. Let B subset of A be a centrally large subalgebra in A such that B has uniform property Gamma. Then we prove that A has uniform property Gamma. Let Omega be a class of stably finite unital C*-algebras such that for any B is an element of Omega, B has uniform property Gamma. Then we show that A has uniform property Gamma for any simple unital C*-algebra A is an element of TA Omega.