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Operator Algebras and Their Applications
Edited by: Peter A. Fillmore, Dalhousie University, Halifax, NS, Canada, and James A. Mingo, Queen's University, Kingston, ON, Canada
A co-publication of the AMS and Fields Institute.
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Fields Institute Communications
1997; 323 pp; hardcover
Volume: 13
ISBN-10: 0-8218-0522-3
ISBN-13: 978-0-8218-0522-0
List Price: US$96
Member Price: US$76.80
Order Code: FIC/13
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Operator Algebras and Their Applications II - Peter A Fillmore and James A Mingo

The study of operator algebras, which grew out of von Neumann's work in the 1920s and the 1930s on modelling quantum mechanics, has in recent years experienced tremendous growth and vitality. This growth has resulted in significant applications in other areas--both within and outside mathematics. The field was a natural candidate for a 1994-1995 program year in Operator Algebras and Applications held at The Fields Institute for Research in the Mathematical Sciences.

This volume contains a selection of papers that arose from the seminars and workshops of the program. Topics covered include the classification of amenable \(C^*\)-algebras, the Baum-Connes conjecture, \(E_0\) semigroups, subfactors, E-theory, quasicrystals, and the solution to a long-standing problem in operator theory: Can almost commuting self-adjoint matrices be approximated by commuting self-adjoint matrices?

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

Readership

Graduate students, research mathematicians, and physicists interested in functional analysis.

Table of Contents

  • W. B. Arveson -- Minimal \(E_0\)-semigroups
  • D. H. Bisch -- Bimodules, higher relative commutants, and the fusion algebra associated to a subfactor
  • D. P. Blecher -- On selfdual Hilbert modules
  • S. Eilers -- Künneth splittings and classification of \(C^*\)-algebras with finitely many ideals
  • G. A. Elliott and Q. Lin -- Cut-down method in the inductive limit decomposition of noncommutative tori. II: The degenerate case
  • G. A. Elliott, G. Gong, X. Jiang, and H. Su -- A classification of simple limits of dimension drop \(C^*\)-algebras
  • P. Julg -- Remarks on the Baum-Connes conjecture and Kazhdan's property \(T\)
  • J. Kellendonk -- Integer groups of coinvariants associated to octagonal tilings
  • E. Kirchberg -- On the existence of traces on exact stably projectionless simple \(C^*\)-algebras
  • A. Kishimoto and A. Kumjian -- Crossed products of Cuntz algebras by quasi-free automorphisms
  • H. Lin -- Almost commuting selfadjoint matrices and applications
  • H. Lin and H. Osaka -- Real rank of multiplier algebras of \(C^*\)-algebras of real rank zero
  • N. C. Phillips -- Approximate unitary equivalence of homomorphisms from odd Cuntz algebras
  • M. Rordam -- Classification of certain infinite simple \(C^*\)-algebras. III
  • S. Sakai -- KMS states and phase transitions. II
  • J. N. Samuel -- Asymnptotic morphisms and \(E\)-theory
  • K. Thomsen -- Representing \(K_1\) in the unitary group
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