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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