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Titlebook: Operator Algebras and their Connections with Topology and Ergodic Theory; Proceedings of the O Huzihiro Araki,Calvin C. Moore,Dan-Virgil Vo

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楼主: AMASS
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Locality and differential operators on C*-algebras, II,e generator of a one-parameter group of automorphisms of the C*-algebra, with coefficients in the centre of the algebra. (More precisely, the coefficients may be central multipliers of a certain two-sided ideal of the algebra.)
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978-3-540-15643-7Springer-Verlag Berlin Heidelberg 1985
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Operator Algebras and their Connections with Topology and Ergodic Theory978-3-540-39514-0Series ISSN 0075-8434 Series E-ISSN 1617-9692
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0075-8434 Overview: 978-3-540-15643-7978-3-540-39514-0Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Ergodic properties of some C*-dynamical systems,Return to equilibrium in the one-dimensional XY-model is discussed with emphasis on mathematical aspect. A related mathematical structure is discussed also in connection with the two-dimensional Ising model, especially using ℤ.-index for two projections.
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Banach bimodule associated to an action of a discrete group on a compact space,We associate to an action of a countable discrete group Γ on a compact space . a normal dual Banach . bimodule ., with separable predual, where . is the group Von Neumann algebra of Γ; and a canonical class of derivations from . to .. which are inner if and only if there is on . a Γ invariant probability measure.
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Problems in quantum field theory and in operator algebras,We review briefly the theory of superselection quantum numbers and exact internal symmetries in the algebraic formulation of Quantum Field Theory; we discuss some problems, and the developments they lead to in the theory of Operator Algebras.
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