Advanced Studies in Pure Mathematics 2004; 328 pp; hardcover Volume: 38 ISBN10: 493146923X ISBN13: 9784931469235 List Price: US$92 Member Price: US$73.60 Order Code: ASPM/38
 This volume reflects the proceedings of the U.S.Japan seminar on Operator Algebras and Applications held at Kyushu University (Japan). Contributors to the volume are leading researchers in the theory of operator algebras. Readers will find a variety of current research topics reflecting the state of the art of the subject. Topics covered include the classification of \(C^*\)algebras by \(K\)theoretical data and related topics, a detailed study on various classes of \(C^*\)algebras, subfactor analysis and related topics, free probability theory, and more. The material is suitable for graduate students and researchers interested in operator algebras and their applications. Volumes in this series are freely available electronically 5 years postpublication. Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS. Readership Graduate students and research mathematicians interested in operator algebras and their applications. Table of Contents \(C^*\)Algebras  B. Blackadar  Semiprojectivity in simple \(C^*\)algebras
 N. Brown  On quasidiagonal \(C^*\)algebras
 N. Brown and M. Dadarlat  Extensions of quasidiagonal \(C^*\)algebras and \(K\)theory
 J. H. Hong  The ideal structure of graph algebras
 J. A. Jeong  Stable rank and real rank of graph \(C^*\)algebras
 Q. Lin and N. C. Phillips  Direct limit decompostion for \(C^*\)algebras of minimal diffeomorphisms
 M. Nagisa  Single generation and rank of \(C^*\)algebras
 H. Nakamura  Aperiodic automorphisms of certain simple \(C^*\)algebras
 C.G. Park  \(C^*\)algebras over sphere with fibres noncommutative tori
 M. Rørdam  Stable \(C^*\)algebras
von Neumann Algebras  M. Izumi  Noncommutative Markov operators arising from subfactors
 Y. Kawahigashi  Braiding and nets of factors on the circle
 N. Sato  A notion of Morita equivalence between subfactors
 Y. Ueda  Amalgamated free product over Cartan subalgebra, II. Supplementary results and examples
Miscellaneous Topics  T. Digernes  Finite approximations and physics over unconventional fields
 F. Hiai and H. Kosaki  Operator means and their norms
 T. Matsui  Quantum spin chain and Popescu systems
 K. Matsumoto  Topological conjugacy invariants of symbolic dynamics arising from \(C^*\)algebra \(K\)theory
 Y. Watatani  Relative positions of four subspaces in a Hilbert space and subfactors
