Covariant representations on Krein \(C^\ast\)-modules associated to pairs of two maps

DOI10.1016/j.jmaa.2012.08.027zbMath1270.46051OpenAlexW1974303789MaRDI QIDQ691806

Un Cig Ji, Jaeseong Heo, Young Yi Kim

Publication date: 4 December 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.08.027

zbMATH Keywords

fundamental symmetry\(\alpha \)-completely positive mapcovariant \(\rho \)-mapcovariant \(J\)-representationcrossed product of a Hilbert \(C^{\ast }\)-module by a locally compact groupKrein \(C^{\ast }\)-moduleKSGNS type representation

Mathematics Subject Classification ID

(C^*)-modules (46L08)

Related Items (2)

A Radon–Nikodým type theorem for invariant symmetric completely positive and completely bounded multilinear maps on Hilbert C*-modules ⋮ KSGNS type constructions for \(\alpha\)-completely positive maps on Krein \(C^\ast\)-modules

Cites Work

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• Covariant version of the Stinespring type theorem for Hilbert \(C^*\)-modules
• Representations of hermitian kernels by means of Kreĭn spaces
• On L.\ Schwartz's boundedness condition for kernels
• Stinespring's theorem for maps on Hilbert C*-modules
• Positive definite kernels and Hilbert C*-modules
• Naturality and induced representations
• On KSGNS representations on Krein C∗-modules
• Radon–Nikodým type theorem for α-completely positive maps
• Quantum stochastic processes for maps on Hilbert C*-modules
• Representations of Hermitian kernels by means of Krein spaces. II. Invariant kernels

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