On KSGNS representations on Krein C∗-modules

DOI10.1063/1.3397448zbMath1310.46048OpenAlexW2080704348MaRDI QIDQ5249540

Jaeseong Heo, Jang Pyo Hong, Un Cig Ji

Publication date: 6 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3397448

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Operator spaces and completely bounded maps (46L07) General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60) Quantum measurement theory, state operations, state preparations (81P15) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items

Matrix KSGNS construction and a Radon-Nikodym type theorem, \(\alpha\)-positive/\(\alpha\)-negative definite functions on groups, Covariant representations on Krein \(C^\ast\)-modules associated to pairs of two maps, \(\alpha\)-completely positive maps of group systems and Krein module representations, The structure of invariant α-CP multilinear maps and associatedJ-representations, Krein space representations and Radon-Nikodým theorem for local \(\alpha \)-completely positive maps, Radon–Nikodým type theorem for α-completely positive maps, Quantum \(J\)-channels on Krein spaces, KSGNS type constructions for \(\alpha\)-completely positive maps on Krein \(C^\ast\)-modules

Cites Work

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• On structure of the algebra of field operators
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