α-COMPLETELY POSITIVE MAPS ON LOCALLY C*-ALGEBRAS, KREIN MODULES AND RADON-NIKODÝM THEOREM

DOI10.4134/JKMS.2013.50.1.061zbMath1270.46052MaRDI QIDQ4917349

Young Yi Kim, Un Cig Ji, Jaeseong Heo

Publication date: 29 April 2013

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://mathnet.or.kr/mathnet/kms_content.php?no=410963

zbMATH Keywords

\(\alpha\)-completely positive map\(J\)-representationKrein moduleHilbert locally \(C^{\ast }\)-modulelocally \(C^{\ast }\)-algebraminimal Krein quadruplenoncommutative Radon-Nikodým theorem

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Algebras of unbounded operators; partial algebras of operators (47L60) (C^*)-modules (46L08) Noncommutative dynamical systems (46L55)

Related Items (4)

\(\alpha\)-positive/\(\alpha\)-negative definite functions on groups ⋮ \(\alpha\)-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

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