Covariant GNS Representation for C*-Dynamical Systems
arXiv:1202.0321
Abstract
We extend the covariant GNS representation of Niculescu, Ströh and Zsidó for C*-dynamical systems with time-evolution of the system (dynamics) a homomorphism of C*-algebras, to any dynamical systems, where the dynamics is an unital completely positive map. We give also an overview on its application to the reversible dilation theory as formulated by B. Kummerer.