Remarks on the decomposition of Dirichlet forms on standard forms of von Neumann algebras

DOI10.1063/1.2804751zbMath1152.81514OpenAlexW1989364566MaRDI QIDQ3544517

Chul Ki Ko

Publication date: 8 December 2008

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

Full work available at URL: https://doi.org/10.1063/1.2804751

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Quantum theory (81-XX)

Related Items (1)

Derivations and Dirichlet forms on fractals

Cites Work

• Non-commutative symmetric Markov semigroups
• Dirichlet forms and Markov semigroups on \(C^*\)-algebras
• Dirichlet forms and Markovian semigroups on standard forms of von Neumann algebras
• Derivations as square roots of Dirichlet forms
• Hilbert modules and stochastic dilation of a quantum dynamical semigroup on a von Neumann algebra
• Spectral analysis and Feller property for quantum Ornstein-Uhlenbeck semigroups
• CONSTRUCTION OF DIRICHLET FORMS ON STANDARD FORMS OF VON NEUMANN ALGEBRAS
• CONSTRUCTION OF UNBOUNDED DIRICHLET FOR ON STANDARD FORMS OF VON NEUMANN ALGEBRAS
• A REMARK ON THE STRUCTURE OF SYMMETRIC QUANTUM DYNAMICAL SEMIGROUPS ON VON NEUMANN ALGEBRAS
• Dirichlet forms and symmetric Markovian semigroups on CCR algebras with respect to quasi-free states
• REMARKS ON THE STRUCTURE OF DIRICHLET FORMS ON STANDARD FORMS OF VON NEUMANN ALGEBRAS

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