Hilbert $C^{\ast }$-Module Representation on Haagerup Tensor Products and Group Systems

Abstract

Using the Hilbert $C^{\ast }$-module representation associated with completely multi-positive linear maps [Heo], we give another representation on Haagerup tensor product without the bridging maps. We also construct covariant representations of covariant group systems on Hilbert $C^{\ast }$-modules.