Automatic Continuity of $ \ast $-Representations for Discrete Twisted $ C^{\ast} $-Dynamical Systems

Abstract

In this paper, we will establish the relatively unknown result that every $ \ast $-representation for a discrete twisted $ C^{\ast} $-dynamical system $ (G,A,\alpha,\omega) $ is automatically contractive with respect to the $ L^{1} $-norm on $ {C_{c}}(G,A) $.