E0-SEMIGROUPS FOR CONTINUOUS PRODUCT SYSTEMS

DOI10.1142/S0219025707002774zbMath1148.46037arXivmath/0607132OpenAlexW2017226182MaRDI QIDQ3502790

Michael Skeide

Publication date: 20 May 2008

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/0607132

Mathematics Subject Classification ID

(C^*)-modules (46L08) Noncommutative dynamical systems (46L55) Noncommutative probability and statistics (46L53)

Related Items

On the existence of E0-semigroups — the multiparameter case, CP-semigroups and dilations, subproduct systems and superproduct systems: the multi-parameter case and beyond, Classification of 𝐸₀–semigroups by product systems, Subsystems of Fock need not be Fock: Spatial CP-semigroups, CP-H-extendable maps between Hilbert modules and CPH-semigroups

Cites Work

• Unnamed Item
• Continuous analogues of Fock space. II. The spectral \(C^*\)-algebra
• Continuous analogues of Fock space. IV: Essential states
• Type I product systems of Hilbert modules
• THE INDEX OF (WHITE) NOISES AND THEIR PRODUCT SYSTEMS
• An Index Theory For Quantum Dynamical Semigroups
• REPRESENTATIONS OF ${\rscr B}^a (E)$
• A SIMPLE PROOF OF THE FUNDAMENTAL THEOREM ABOUT ARVESON SYSTEMS
• ON THE EXISTENCE OF E₀-SEMIGROUPS
• EXISTENCE OF E₀-SEMIGROUPS FOR ARVESON SYSTEMS: MAKING TWO PROOFS INTO ONE
• ESSENTIAL REPRESENTATIONS OF C*-CORRESPONDENCES