A SIMPLE PROOF OF THE FUNDAMENTAL THEOREM ABOUT ARVESON SYSTEMS

DOI10.1142/S0219025706002378zbMath1105.46047arXivmath/0602014OpenAlexW2143333291MaRDI QIDQ5483415

Michael Skeide

Publication date: 14 August 2006

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

Full work available at URL: https://arxiv.org/abs/math/0602014

zbMATH Keywords

dilatonsquantum dynamicsproduct systems\(E_{0}\)-semigroups

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Generalized stochastic processes (60G20) Noncommutative probability and statistics (46L53)

Related Items (14)

On the existence of E0-semigroups — the multiparameter case ⋮ E₀-SEMIGROUPS FOR CONTINUOUS PRODUCT SYSTEMS ⋮ An essential representation for a product system over a finitely generated subsemigroup of \(\mathbb {Z}^{d}\) ⋮ CP-semigroups and dilations, subproduct systems and superproduct systems: the multi-parameter case and beyond ⋮ Classification of 𝐸₀–semigroups by product systems ⋮ ISOMETRIC DILATIONS OF REPRESENTATIONS OF PRODUCT SYSTEMS VIA COMMUTANTS ⋮ Constructing proper Markov semigroups for Arveson systems ⋮ INFINITE TENSOR PRODUCTS OF SPATIAL PRODUCT SYSTEMS ⋮ A class of essential representations of product systems ⋮ ON THE EXISTENCE OF E₀-SEMIGROUPS ⋮ EXISTENCE OF E₀-SEMIGROUPS FOR ARVESON SYSTEMS: MAKING TWO PROOFS INTO ONE ⋮ Spatial Markov semigroups admit Hudson-Parthasarathy dilations ⋮ CP-H-extendable maps between Hilbert modules and CPH-semigroups ⋮ Additive units of product systems

Cites Work

• Continuous analogues of Fock space. II. The spectral \(C^*\)-algebra
• Continuous analogues of Fock space. IV: Essential states
• An Index Theory For Quantum Dynamical Semigroups
• ON THE EXISTENCE OF E₀-SEMIGROUPS

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