Uniform property $\mathrm{\Gamma }$ for Crossed products by group actions with the Rokhlin-type properties

In this paper, let $A$ be a unital separable simple infinite dimensional C*-algebra which has uniform property $\mathrm{\Gamma }$. Let $\alpha \text{\hspace{0.17em}⁣}:G\to \mathrm{A}\mathrm{u}\mathrm{t}(A)$ be an action of a finite group which has the weak tracial Rokhlin property. Then we prove that the crossed product $A{⋊}_{\alpha }G$ and fixed point algebra $A^{\alpha }$ have uniform property $\mathrm{\Gamma }$. Let $\alpha \text{\hspace{0.17em}⁣}:G\to \mathrm{A}\mathrm{u}\mathrm{t}(A)$ be an action of a second-countable compact group which has the tracial Rokhlin property with comparison. Then we prove that the crossed product $A{⋊}_{\alpha }G$ and fixed point algebra $A^{\alpha }$ have uniform property $\mathrm{\Gamma }$.