1.

Record Nr.

UNINA9910480466703321

Titolo

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

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 ; ; volume 62

Disciplina

512/.55

Soggetti

C*-algebras

Von Neumann algebras

Mathematical physics

Electronic books.

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""