Every sum system is divisible

DOI10.1090/S0002-9947-09-04697-2zbMath1208.46064arXiv0708.1591OpenAlexW2963818370MaRDI QIDQ5322894

Masaki Izumi

Publication date: 23 July 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.1591

zbMATH Keywords

product system\(E_0\)-semigroupstype Itype III

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Noncommutative dynamical systems (46L55) Groups and semigroups of linear operators (47D03) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (2)

Toeplitz CAR flows and type I factorizations ⋮ Local unitary cocycles of \(E_0\)-semigroups

Cites Work

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• On quasifree states of the canonical commutation relations. II
• Continuous analogues of Fock space
• Random sets and invariants for (type II) continuous tensor product systems of Hilbert spaces
• ON PRODUCT SYSTEMS ARISING FROM SUM SYSTEMS
• EXISTENCE OF E₀-SEMIGROUPS FOR ARVESON SYSTEMS: MAKING TWO PROOFS INTO ONE

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