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Covariant version of the Stinespring type theorem for Hilbert C*-modules

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Central European Journal of Mathematics

Abstract

In this paper, we prove a covariant version of the Stinespring theorem for Hilbert C*-modules. Also, we show that there is a bijective correspondence between operator valued completely positive maps, (u′, u)-covariant with respect to the dynamical system (G, η, X) on Hilbert C*-modules and (u′, u)-covariant operator valued completely positive maps on the crossed product G × η X of X by η.

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Authors and Affiliations

  1. Department of Mathematics, University of Bucharest, Bucharest, Romania

    Maria Joiţa

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  1. Maria Joiţa
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Correspondence to Maria Joiţa.

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Joiţa, M. Covariant version of the Stinespring type theorem for Hilbert C*-modules. centr.eur.j.math. 9, 803–813 (2011). https://doi.org/10.2478/s11533-011-0035-x

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  • DOI: https://doi.org/10.2478/s11533-011-0035-x

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