Completely Positive Maps on Some C*-Algebras

Evans, D. E. and Lewis, J. T. (1976) Completely Positive Maps on Some C*-Algebras. (Preprint)

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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.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 11 Jul 2018 10:54
Last Modified: 25 Jul 2018 13:33
URI: http://dair.dias.ie/id/eprint/968

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