Quantum stochastic convolution cocycles. III

DOI10.1007/s00208-011-0656-1zbMath1261.46062arXiv0905.2410OpenAlexW2004644506MaRDI QIDQ411341

Adam G. Skalski, J. Martin Lindsay

Publication date: 4 April 2012

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.2410

zbMATH Keywords

locally compact quantum groupquantum stochastic differential equationquantum Lévy processconvolution cocyclemultiplier \(C^{*}\)-bialgebrastochastic generator

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25) Operator spaces (= matricially normed spaces) (47L25) Other topological algebraic systems and their representations (22A30)

Related Items (6)

Quantum random walk approximation on locally compact quantum groups ⋮ Quantum stochastic convolution cocycles. II ⋮ Convolution semigroups on locally compact quantum groups and noncommutative Dirichlet forms ⋮ Approximation of quantum Lévy processes by quantum random walks ⋮ Symmetries of Lévy processes on compact quantum groups, their Markov semigroups and potential theory ⋮ Around property (T) for quantum groups

Cites Work

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• EXISTENCE OF FELLER COCYCLES ON A C*-ALGEBRA
• HOMOMORPHIC FELLER COCYCLES ON A $C^*$-ALGEBRA
• LOCALLY COMPACT QUANTUM GROUPS IN THE UNIVERSAL SETTING
• Locally compact quantum groups

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