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.

Includes bibliographies.

A biographical sketch of Hans-J�urgen Borchers / Klaus Fredenhagen -- A biographical sketch of N. M. Hugenholtz / Marinus Winnink -- A biographical sketch of Richard V. Kadison / Erling St�rmer -- A biographical sketch of Daniel Kastler / Rudolf Haag -- Bogoliubov automorphisms and Fock representations of canonical anticommutation relations / Huzihiro Araki -- On the interplay between spectrum condition and locality in quantum field theory / H.-J. Borchers -- The structure of local algebras of observables / K. Fredenhagen -- How the $C^\ast $-algebraic formulation of statistical mechanics helps understanding the approach to equilibrium / N. M. Hugenholtz -- KMS structures in geometric quantization / G�erard G. Emch -- Perturbations and KMS states in $C^\ast $-dynamical systems (generalization of the absence theorem of phase transition to continuous quantum systems) / Sh�oichir�o Sakai -- ${\bf Z}/2$-graded cyclic cohomology within the differential envelope / Daniel Kastler -- Yang-Mills for noncommutative two-tori / Alain Connes and Marc A. Rieffel -- Nonstable $K$-theory and noncommutative tori / Marc A. Rieffel -- Nonlinear states on $C^\ast $-algebras / William Arveson -- Cones of positive maps / Erling St�rmer -- On the geometry of positive maps in matrix algebras / Jun Tomiyama -- Differential operators on $C^\ast $-algebras / Derek W. Robinson -- Derivations and free group actions / Ola Bratteli -- Automatic continuity of derivations on eigenspaces / Ola Bratteli and Akitaka Kishimoto -- Dynamics in continuous quantum systems / Sh�oichir�o Sakai -- Kuiper's theorem for Hilbert modules / Joachim Cuntz and Nigel Higson -- Feynman's operational calculus, generalized Dyson series and the Feynman integral / Gerald W. Johnson and Michel L. Lapidus -- An index theory for continuous semigroups of $\ast $-endomorphisms of $\mathfrak {B}(\mathfrak {H})$ and ${\rm II}_1$ factors / Robert T. Powers -- Multivariable Toeplitz operators, Jordan algebras and index theory / Harald Upmeier -- On multilinear completely bounded module maps / Edward G. Effros -- On the classification of noncommutative tori. III / Berndt Brenken, Joachim Cuntz, George A. Elliott and Ryszard Nest -- The joint modular structure of an inclusion of von Neumann algebras / Roberto Longo -- Central sequences in crossed products / Richard H. Herman and Vaughan F. R. Jones --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.