DIRICHLET FORMS AND SYMMETRIC MARKOVIAN SEMIGROUPS ON ℤ2-GRADED VON NEUMANN ALGEBRAS

DOI10.1142/S0129055X03001825zbMath1090.46048MaRDI QIDQ5315853

Chul Ki Ko, Yong Moon Park, Changsoo Bahn

Publication date: 9 September 2005

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

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Noncommutative dynamical systems (46L55) Quantum stochastic calculus (81S25) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (5)

Quantum Fokker-Planck dynamics ⋮ Dirichlet Forms on Noncommutative Spaces ⋮ The emergence of noncommutative potential theory ⋮ REMARKS ON THE STRUCTURE OF DIRICHLET FORMS ON STANDARD FORMS OF VON NEUMANN ALGEBRAS ⋮ Ergodic property of Markovian semigroups on standard forms of von Neumann algebras

Cites Work

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• Spectral analysis and Feller property for quantum Ornstein-Uhlenbeck semigroups
• CONSTRUCTION OF DIRICHLET FORMS ON STANDARD FORMS OF VON NEUMANN ALGEBRAS
• QUANTUM STOCHASTIC DYNAMICS II
• CONSTRUCTION OF UNBOUNDED DIRICHLET FOR ON STANDARD FORMS OF VON NEUMANN ALGEBRAS
• Dirichlet forms and symmetric Markovian semigroups on CCR algebras with respect to quasi-free states
• Quantum stochastic processes

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