CONSTRUCTING EXTENSIONS OF CP-MAPS VIA TENSOR DILATIONS WITH THE HELP OF VON NEUMANN MODULES

DOI10.1142/S0219025705001986zbMath1087.46045arXivmath/0311110OpenAlexW2041118481MaRDI QIDQ5462134

Rolf Gohm, Michael Skeide

Publication date: 1 August 2005

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311110

zbMATH Keywords

dualityextensioncompletely positivetensor dilationvon Neumann module

Mathematics Subject Classification ID

(C^*)-modules (46L08) Noncommutative probability and statistics (46L53) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (3)

CP-semigroups and dilations, subproduct systems and superproduct systems: the multi-parameter case and beyond ⋮ ISOMETRIC DILATIONS OF REPRESENTATIONS OF PRODUCT SYSTEMS VIA COMMUTANTS ⋮ Unit vectors, Morita equivalence and endomorphisms

Cites Work

• Markov dilations on \(W^ *\)-algebras
• Morita equivalence for C\(^*\)-algebras and W\(^*\)-algebras
• Frobenius theory for positive maps of von Neumann algebras
• Hilbert modules in quantum electro dynamics and quantum probability
• Kolmogorov's existence theorem for Markov processes in \(C^*\) algebras
• Noncommutative stationary processes
• Subalgebras of \(C^ *\)-algebras
• A SCATTERING THEORY FOR MARKOV CHAINS

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