Z. Wang

[ 1 ] - Dilations for $C^ast$-dynamical systems with abelian groups on Hilbert $C^ast$-modules

In this paper we investigate the dilations of completely positive definite representations of \(C^\ast\)-dynamical systems with abelian groups on Hilbert \(C^\ast\)-modules. We show that if \((\mathcal{A}, G,\alpha)\) is a \(C^\ast\)-dynamical system with \(G\) an abelian group, then every completely positive definite covariant representation \((\pi,\varphi,E)\) of \((\mathcal{A}, G,\alpha)\) on …