On the product system of a completely positive semigroup

DOI10.1016/S0022-1236(02)00168-4zbMath1032.46082MaRDI QIDQ1874459

Daniel Markiewicz

Publication date: 25 May 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

Lévy processescompletely positive maps\(E_0\)-semigroupsquantum dynamical semigroupscompletely positive semigroupsminimal dilations

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Groups and semigroups of linear operators (47D03) Noncommutative probability and statistics (46L53) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items

QUANTUM MARKOV SEMIGROUPS: PRODUCT SYSTEMS AND SUBORDINATION ⋮ The spatial product of Arveson systems is intrinsic ⋮ Operator algebras of monomial ideals in noncommuting variables ⋮ CP-semigroups and dilations, subproduct systems and superproduct systems: the multi-parameter case and beyond ⋮ \(C^\ast\)-subproduct and product systems ⋮ Operator algebras and subproduct systems arising from stochastic matrices ⋮ Representations of product systems over semigroups and dilations of commuting CP maps ⋮ Local unitary cocycles of \(E_0\)-semigroups ⋮ Additive units of product systems

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