Covariant GNS Representation for C*-Dynamical Systems

Details Covariant GNS Representation for C*-Dynamical Systems Covariant GNS Representation for C*-Dynamical Systems

2012-02-01

arxiv.org/abs/1202.0321v1

Mathematics

Operator Algebras

Scientific paper

We extend the covariant GNS representation of Niculescu, Str\"oh and Zsid\'o
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.

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