Group actions on pro-$C^{*}$-algebras and their pro-$C^{*}$-crossed products (1401.2903v2)

Abstract: In this paper, we define the notions of full pro-$C^{*}$-crossed product, respectively reduced pro-$C^{*}$-crossed product, of a pro-$C^{*}$-algebra $A[\tau_{\Gamma}] $ by a strong bounded action $\alpha$ of a locally compact group $G$ and investigate some their properties.