State space of C*-algebras

DOI10.1007/BF02392126zbMath0458.46047MaRDI QIDQ1151569

Harald Hanche-Olsen, Frederic W. Shultz, Erik M. Alfsen

Publication date: 1980

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

extreme pointsorientabilitycompact convex setsenveloping C*-algebraJordan Banach algebras3-ball propertynorm exposed facestate spaces of C*-algebrasstate spaces of JB-algebras

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Convex sets in topological linear spaces; Choquet theory (46A55) States of selfadjoint operator algebras (46L30) Jordan structures on Banach spaces and algebras (17C65)

Related Items

Continuous dependence on the initial data in the Kadison transitivity theorem and GNS construction, On universal representations and universal enveloping locally C*-algebras for locally JB-algebras, Convergences of alternating projections in \(\mathrm{CAT}(\kappa)\) spaces, Affine structure of facially symmetric spaces, On partially ordered real involutory algebras, A geometric characterisation of real C*-algebras, Automorphism groups of Jordan C*-algebras, Characterization of JBW-algebras with strongly facially symmetric predual space, Thermodynamics and the structure of quantum theory, Operator space structure of \(JC^*\)-triples and TROs. I, Perfect JC-algebras, Pure states as a dual object for C*-algebras, On the relationship between Jordan algebras and their universal enveloping algebras, Complex Borel structure in \(JC\)-algebras, The geometry of physical observables, (No) Wigner Theorem for C*-algebras, Unnamed Item, Positive extensions of automorphisms of spin factors, Orientation in operator algebras, Deciphering the algebraic CPT theorem, Invariantly ordered spectral Lie algebras as abstract dynamical systems, Symmetry versus facial homogeneity for self-dual cones, Classification of \(JBW^ *\)-triples of type I, Jordan operator algebras, Solution of the contractive projection problem, Unnamed Item, Normal state spaces of Jordan and von Neumann algebras, Structure and representations of noncommutative C*-Jordan algebras, The structure of type I JBW-algebras, The theory and structure of dual JB-algebras, Poisson Spaces with a Transition Probability, Existence of Jordan algebras of selfadjoint operators of a given type, Quantum measures and states on Jordan algebras, Ortho-sets and Gelfand spectra

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