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

Open Mathematics (2011)

- Volume: 9, Issue: 4, page 803-813
- ISSN: 2391-5455

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topMaria Joiţa. "Covariant version of the Stinespring type theorem for Hilbert C*-modules." Open Mathematics 9.4 (2011): 803-813. <http://eudml.org/doc/269066>.

@article{MariaJoiţa2011,

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.},

author = {Maria Joiţa},

journal = {Open Mathematics},

keywords = {Covariant completely positive maps; Covariant representations; Hilbert C*-modules; Crossed products; covariant completely positive maps; Hilbert modules; crossed products; covariant representations},

language = {eng},

number = {4},

pages = {803-813},

title = {Covariant version of the Stinespring type theorem for Hilbert C*-modules},

url = {http://eudml.org/doc/269066},

volume = {9},

year = {2011},

}

TY - JOUR

AU - Maria Joiţa

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

JO - Open Mathematics

PY - 2011

VL - 9

IS - 4

SP - 803

EP - 813

AB - 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.

LA - eng

KW - Covariant completely positive maps; Covariant representations; Hilbert C*-modules; Crossed products; covariant completely positive maps; Hilbert modules; crossed products; covariant representations

UR - http://eudml.org/doc/269066

ER -

## References

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- [10] Scutaru H., Some remarks on covariant completely positive linear maps on C*-algebras, Rep. Math. Phys., 1979, 16(1), 79–87 http://dx.doi.org/10.1016/0034-4877(79)90040-5 Zbl0437.46051
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