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

• Autorzy: Maria Joiţa
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

Kategorie tematyczne

• 46L08: C * -modules

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2011
• Tom: 9
• Numer: 4
• Strony: 803-813

Daty

wydano

2011-08-01

online

2011-05-26

Twórcy

autor

Maria Joiţa

• University of Bucharest

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-011-0035-x