Operator algebras and mathematical physics : proceedings of a summer conference held June 17-21, 1985, with support from the National Science Foundation and the University of Iowa / / Palle E.T. Jorgensen and Paul S. Muhly, editors

• Record Nr.: UNINA9910812566503321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [1987]; ©1987
• ISBN: 0-8218-7652-X; 0-8218-5066-0
• Descrizione fisica: 1 online resource (559 p.)
• Collana: Contemporary mathematics, , 0271-4132 ; ; 62 , 0271-4132
• Disciplina: 512/.55
• Soggetti: C*-algebras; Von Neumann algebras; Mathematical physics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Proceedings of the Summer Conference on Algebras and Mathematical Physics in honor of the 60th birthdays of Profs. H.-J. Borchers, N.M. Hugenholtz, R.V. Kadison, and D. Kastler.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: How the C*-algebraic formulation of statistical mechanics helps understanding the approach to equilibrium -- KMS structures in geometric quantization -- Perturbations and KMS states in C*-dynamical systems (Generalization of the absence theorem of phase transition in continuous quantum systems) -- III. Methods from Differential Geometry and K-theory -- Z/2-graded cyclic cohomology within the differential envelope -- Yang-Mills for non-commutative two-tori -- Non-stable K-theory and non-commutative tori -- IV. Positivity in Operator Algebras -- Nonlinear states on C*-algebras -- Cones of positive maps -- On the geometry of positive maps in matrix algebras -- V. Dynamical Systems and Derivations -- Differential operators on C*-algebras -- Derivations and free group actions -- Automatic continuity of derivations on eigenspaces -- Dynamics in continuous quantum systems -- VI. Operators in Hilbert Spaces: Some Algebraic Methods -- Kuiper's theorem for Hilbert modules -- Feynman's operational calculus, generalized Dyson series and the ; Feynman integral -- An index theory for continuous semigroups of *-endomorphisms of B(S)and II1 factors -- Multivariable Toeplitz operators, Jordan algebras and index theory -- VII. C*-Algebras: Some Recent Results -- On multilinear completely bounded module maps -- On the classification of noncommutative tori, III -- VIII. Von Neumann Algebras -- The joint modular structure of an inclusion of von Neumann algebras -- Central sequences in crossed products.