THE INDEX OF (WHITE) NOISES AND THEIR PRODUCT SYSTEMS
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Publication:3421839
DOI10.1142/S0219025706002573zbMath1119.46051arXivmath/0601228MaRDI QIDQ3421839
Publication date: 8 February 2007
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/0601228
Continuous-time Markov processes on general state spaces (60J25) (C^*)-modules (46L08) Noncommutative dynamical systems (46L55) Generalized stochastic processes (60G20) Noncommutative probability and statistics (46L53)
Related Items (15)
Type I product systems of Hilbert modules ⋮ The spatial product of Arveson systems is intrinsic ⋮ E0-SEMIGROUPS FOR CONTINUOUS PRODUCT SYSTEMS ⋮ CP-semigroups and dilations, subproduct systems and superproduct systems: the multi-parameter case and beyond ⋮ A Connes correspondence approach to the dilation theory ⋮ Classification of 𝐸₀–semigroups by product systems ⋮ ISOMETRIC DILATIONS OF REPRESENTATIONS OF PRODUCT SYSTEMS VIA COMMUTANTS ⋮ INFINITE TENSOR PRODUCTS OF SPATIAL PRODUCT SYSTEMS ⋮ INCLUSION SYSTEMS AND AMALGAMATED PRODUCTS OF PRODUCT SYSTEMS ⋮ Subsystems of Fock need not be Fock: Spatial CP-semigroups ⋮ Constructing units in product systems ⋮ The relation of spatial and tensor product of Arveson systems — the random set point of view ⋮ On the index and roots of time ordered product systems ⋮ Spatial Markov semigroups admit Hudson-Parthasarathy dilations ⋮ Additive units of product systems
Cites Work
- A non spatial continuous semigroup of *-endomorphisms of \({\mathcal B}({\mathcal H})\)
- Quantum stochastic calculus on full Fock modules
- On the structure of Markov flows
- On the universal property of Pimsner--Toeplitz \(C^*\)-algebras and their continuous analogues
- Type I product systems of Hilbert modules
- An Index Theory for Semigroups of *-Endomorphisms of and Type II1 Factors.
- UNITS FOR THE TIME-ORDERED FOCK MODULE
- ON PRODUCT SYSTEMS ARISING FROM SUM SYSTEMS
- Free E0-Semigroups
- An Index Theory For Quantum Dynamical Semigroups
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