Random sets and invariants for (type II) continuous tensor product systems of Hilbert spaces
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Publication:3637574
DOI10.1090/memo/0930zbMath1190.46053arXivmath/0306365OpenAlexW2964307300MaRDI QIDQ3637574
Publication date: 13 July 2009
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0306365
Processes with independent increments; Lévy processes (60G51) Noncommutative dynamical systems (46L55) Noncommutative probability and statistics (46L53) Tensor products in functional analysis (46M05) Automorphisms of selfadjoint operator algebras (46L40)
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Examples of multiparameter CCR flows with non-trivial index ⋮ Type I product systems of Hilbert modules ⋮ Every sum system is divisible ⋮ Invariants for \(E_{0}\)-semigroups on II\(_{1}\) factors ⋮ The spatial product of Arveson systems is intrinsic ⋮ CP-semigroups and dilations, subproduct systems and superproduct systems: the multi-parameter case and beyond ⋮ E\(_{0}\)-semigroups of type II\(_{0}\) and \(q\)-purity: boundary weight maps of range rank one and two ⋮ \(C^\ast\)-subproduct and product systems ⋮ A Connes correspondence approach to the dilation theory ⋮ Pure cocycle perturbations of \(E _{0}\)-semigroups ⋮ Classification of 𝐸₀–semigroups by product systems ⋮ A class of essential representations of product systems ⋮ Subsystems of Fock need not be Fock: Spatial CP-semigroups ⋮ Toeplitz CAR flows and type I factorizations ⋮ A conjugacy criterion for pure \(E_{0}\)-semigroups ⋮ The relation of spatial and tensor product of Arveson systems — the random set point of view ⋮ Quasi-pure \(E_0\)-semigroups ⋮ Generalized CCR flows ⋮ Cohomology for spatial superproduct systems ⋮ Additive units of product systems ⋮ The enveloping \(E\)-semigroup of a product system
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