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.
@article{bwmeta1.element.doi-10_2478_s11533-011-0035-x,
author = {Maria Joi\c ta},
title = {Covariant version of the Stinespring type theorem for Hilbert C*-modules},
journal = {Open Mathematics},
volume = {9},
year = {2011},
pages = {803-813},
zbl = {1243.46049},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0035-x}
}
Maria Joiţa. Covariant version of the Stinespring type theorem for Hilbert C*-modules. Open Mathematics, Tome 9 (2011) pp. 803-813. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0035-x/
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