Operator algebras and applications
著者
書誌事項
Operator algebras and applications
（Advanced studies in pure mathematics, 38）
Mathematical Society of Japan, c2004
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注記
Includes bibliographical references
"The US-Japan Seminar "Operator Algebras and Applications" was held on June 7-11, 1999 at the Kyushu University"--Pref
内容説明・目次
内容説明
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. The 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.
目次
$C^*$-Algebras: Semiprojectivity in simple $C^*$-algebras by B. Blackadar On quasidiagonal $C^*$-algebras by N. Brown Extensions of quasidiagonal $C^*$-algebras and $K$-theory by N. Brown and M. Dadarlat The ideal structure of graph algebras by J. H. Hong Stable rank and real rank of graph $C^*$-algebras by J. A. Jeong Direct limit decomposition for $C^*$-algebras of minimal diffeomorphisms by Q. Lin and N. C. Phillips Single generation and rank of $C^*$-algebras by M. Nagisa Aperiodic automorphisms of certain simple $C^*$-algebras by H. Nakamura $C^*$-algebras over sphere with fibres non-commutative tori by C.-G. Park Stable $C^*$-algebras by M. Rordam von Neumann Algebras: Non-commutative Markov operators arising from subfactors by M. Izumi Braiding and nets of factors on the circle by Y. Kawahigashi A notion of Morita equivalence between subfactors by N. Sato Amalgamated free product over Cartan subalgebra, II. Supplementary results and examples by Y. Ueda Miscellaneous Topics: Finite approximations and physics over unconventional fields by T. Digernes Operator means and their norms by F. Hiai and H. Kosaki Quantum spin chain and Popescu systems by T. Matsui Topological conjugacy invariants of symbolic dynamics arising from $C^*$-algebra $K$-theory by K. Matsumoto Relative positions of four subspaces in a Hilbert space and subfactors by Y. Watatani.
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