Strict Completely Positive Maps between Locally C * -Algebras and Representations on Hilbert Modules

DOI10.1112/S0024610702003411zbMath1027.46069OpenAlexW2224239204MaRDI QIDQ3151161

Maria Joiţa

Publication date: 22 October 2002

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

Full work available at URL: https://doi.org/10.1112/s0024610702003411

zbMATH Keywords

KSGNS constructioncontinuous strict completely positive linear mapHilbert module over locally \(C^{*}\)-algebralocally \(C^{*}\)-algebra

Mathematics Subject Classification ID

(C^*)-modules (46L08) General theory of (C^*)-algebras (46L05)

Related Items (12)

Stinespring's theorem for unbounded operator valued local completely positive maps and its applications ⋮ Factorization properties for unbounded local positive maps ⋮ Continuity of ring homomorphisms for local \(C^\star\)-algebras ⋮ On representations associated with completely \(n\)-positive linear maps on pro-\(C^{*}\)-algebras ⋮ Representations of \(\ast\)-semigroups associated to invariant kernels with values adjointable operators ⋮ Representations of \(*\)-semigroups associated to invariant kernels with values continuously adjointable operators ⋮ Completely positive maps of order zero on pro-\( C^\ast \)-algebras ⋮ Local operator multipliers and positivity ⋮ \(\alpha\)-completely positive maps of group systems and Krein module representations ⋮ Unbounded local completely positive maps of local order zero ⋮ On tensor products of completely positive linear maps between pro-\(C^{*}\)-algebras ⋮ Automatic boundedness of adjointable operators on barreled VH-spaces

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