Completely positive quantum stochastic convolution cocycles and their dilations

DOI10.1017/S0305004107000278zbMath1178.46071arXivmath/0611271OpenAlexW2133191571MaRDI QIDQ3594418

Adam G. Skalski

Publication date: 8 August 2007

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611271

Mathematics Subject Classification ID

Quantum stochastic calculus (81S25) Applications of functional analysis in quantum physics (46N50) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Hopf algebras and their applications (16T05)

Related Items (3)

Quantum random walk approximation on locally compact quantum groups ⋮ On quantum stochastic differential equations ⋮ Quantum stochastic convolution cocycles. II

Cites Work

• On quantum stochastic differential equations
• On the generators of quantum stochastic flows
• Quantum stochastic positive evolutions: Characterization, construction, dilation
• Markovian cocycles on operator algebras adapted to a Fock filtration
• Quantum stochastic convolution cocycles. I
• EXISTENCE OF FELLER COCYCLES ON A C*-ALGEBRA
• HOMOMORPHIC FELLER COCYCLES ON A $C^*$-ALGEBRA
• A stochastic Stinespring theorem

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