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 Advanced Studies in Pure Mathematics 2004; 328 pp; hardcover Volume: 38 ISBN-10: 4-931469-23-X ISBN-13: 978-4-931469-23-5 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 post-publication. 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 non-commutative tori M. Rørdam -- Stable $$C^*$$-algebras von Neumann Algebras M. Izumi -- Non-commutative 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