Fields Institute Communications 1997; 323 pp; hardcover Volume: 13 ISBN10: 0821805223 ISBN13: 9780821805220 List Price: US$96 Member Price: US$76.80 Order Code: FIC/13
 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 areasboth within and outside mathematics. The field was a natural candidate for a 19941995 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 BaumConnes conjecture, \(E_0\) semigroups, subfactors, Etheory, quasicrystals, and the solution to a longstanding problem in operator theory: Can almost commuting selfadjoint matrices be approximated by commuting selfadjoint matrices? Titles in this series are copublished 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  Cutdown 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 BaumConnes 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 quasifree 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
