Completely Positive Maps on Some C*-Algebras

Abstract

Completely positive maps on the C*-algebra of the canonical anticommutation relations induced by contractions on the underlying Hilbert space are investigated and a Stinespring decomposition exhibited. These maps are used to construct examples of dynamical semi-groups; their explicit Stinespring decompositions yield unitary dilations. The relation of this work with earlier results on the C*-algebra of the canonical commutation relations is discussed

    Similar works