Dilations of contraction cocycles and cocycle perturbations of the translation group of the line

DOI10.1007/s11006-006-0001-2zbMath1147.47030OpenAlexW2081828693MaRDI QIDQ2473630

Anton D. Baranov, Grigori G. Amosov

Publication date: 4 March 2008

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0001-2

zbMATH Keywords

dilationHilbert-Schmidt classtranslation groupcocycle perturbationcontraction cocycleperturbed quasi-free K-flowunitary Markov cocycle

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Noncommutative dynamical systems (46L55) Quantum stochastic calculus (81S25)

Related Items (1)

On perturbations of the isometric semigroup of shifts on the semiaxis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Completely positive quasi-free maps on the CAR algebra
• Generalized K-flows
• On Markovian cocycle perturbations in classical and quantum probability
• On cocycle conjugacy of quasifree endomorphism semigroups on the CAR algebra
• Markovian cocycles on operator algebras adapted to a Fock filtration
• Type I product systems of Hilbert modules
• On functions orthogonal to invariant subspaces
• Continuous analogues of Fock space
• An Index Theory for Semigroups of *-Endomorphisms of and Type II₁ Factors.
• COCYCLE PERTURBATION OF QUASIFREE ALGEBRAIC K-FLOW LEADS TO REQUIRED ASYMPTOTIC DYNAMICS OF ASSOCIATED COMPLETELY POSITIVE SEMIGROUP
• HOW TO GENERATE MARKOVIAN COCYCLES ON BOSON FOCK SPACE
• TENSOR PRODUCT SYSTEMS OF HILBERT MODULES AND DILATIONS OF COMPLETELY POSITIVE SEMIGROUPS
• On perturbations of the group of shifts on the line by unitary cocycles
• SECOND QUANTIZED AUTOMORPHISMS OF THE RENORMALIZED SQUARE OF WHITE NOISE (RSWN) ALGEBRA
• On Markovian Perturbations of the Group of Unitary Operators Associated with a Stochastic Process with Stationary Increments
• Quantum stochastic processes
• Minimal isometric dilations of operator cocycles

This page was built for publication: Dilations of contraction cocycles and cocycle perturbations of the translation group of the line