Group actions on pro-$C^{\ast }$-algebras and their pro-$C^{\ast }$-crossed products

Abstract

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

arXiv comment18 pages