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

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

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