Foundations of Quantum Theory : From Classical Concepts to Operator Algebras. - Landsman, Klaas (Cham : Springer International Publishing AG, 2017)
C.11 Gelfand topology as a frame -- C.12 The structure of C*-algebras -- C.13 Tensor products of Hilbert spaces and C*-algebras -- C.14 Inductive limits and infinite tensor products of C*-algebras -- C.15 Gelfand isomorphism and Fourier theory -- C.16 Intermezzo: Lie groupoids -- C.17 C*-algebras associated to Lie groupoids -- C.18 Group C*-algebras and crossed product algebras -- C.19 Continuous bundles of C*-algebras -- C.20 von Neumann algebras and the σ-weak topology -- C.21 Projections in von Neumann algebras -- C.22 The Murray-von Neumann classification of factors -- C.23 Classification of hyperfinite factors -- C.24 Other special classes of C*-algebras -- C.25 Jordan algebras and (pure) state spaces of C*-algebras -- Notes -- Appendix D Lattices and logic -- D.1 Order theory and lattices -- D.2 Propositional logic -- D.3 Intuitionistic propositional logic -- D.4 First-order (predicate) logic -- D.5 Arithmetic and set theory -- Notes -- Appendix E Category theory and topos theory -- E.1 Basic definitions -- E.2 Toposes and functor categories -- E.3 Subobjects and Heyting algebras in a topos -- E.4 Internal frames and locales in sheaf toposes -- E.5 Internal language of a topos -- Notes -- References -- Index.
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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2023. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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