COCYCLE PERTURBATION OF QUASIFREE ALGEBRAIC K-FLOW LEADS TO REQUIRED ASYMPTOTIC DYNAMICS OF ASSOCIATED COMPLETELY POSITIVE SEMIGROUP

DOI10.1142/S0219025700000170zbMath1129.46310OpenAlexW2038284367MaRDI QIDQ4430270

Grigori G. Amosov

Publication date: 8 December 2003

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

Full work available at URL: https://doi.org/10.1142/s0219025700000170

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55)

Related Items (2)

Dilations of contraction cocycles and cocycle perturbations of the translation group of the line ⋮ On perturbations of the isometric semigroup of shifts on the semiaxis

Cites Work

• Markov dilations on \(W^ *\)-algebras
• Completely positive quasi-free maps on the CAR algebra
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Generalized K-flows
• On types of quasifree representations of Clifford algebras
• Representations of uniformly hyperfinite algebras and their associated von Neumann rings
• On quasifree states of CAR and Bogoliubov automorphisms
• Quantum stochastic processes

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