Operator algebras and quantum field theory: Accademia nazionale dei Lincei, Roma, July 1-6, 1996 / ed. by S.Doplicher, R.Longo, J.E.Roberis, L.Zsido. - [Cambridge]: International Press, 1996. - xi, 677 p. - Incl. bibl. ref. - ISBN 1-57146-047-0  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

Оглавление / Contents

I - C*-Algebras and their Invariants Gert K. Pedersen Extensions of C*-Algebras Classification of Inductive Limits of the Toeplitz Algebra Tensored with K ............... 2 George A. Elliott, David E. Evans, and Hongbing Su Classification of Inductive Limits of the Toeplitz Algebra Tensored with K ............................................. 36 Mikael Rørdam The Stable Rank of C*red(Fn) is one - A Survey .............. 51 Klaus Thomsen On the Reduced С*-Exponential Length ........................ 59 N. Christopher Phillips Continuous Embedding of the Rotation Algebras in the Cuntz Algebra O2 .................................................. 65 Iain Raeburn Crossed Products of C*-Algebras by Coactions of Locally Compact Groups .............................................. 74 David Pask Cuntz-Krieger Algebras Associated to Directed Graphs ........ 85 Victor Arzumanian and Jean Renault Examples of Pseudogroups and their С-Algebras ............... 93 Jean-Luc Sauvageot Strong Feller Non Commutative Kernels, Strong Feller Semigroups and Harmonic Analysis ........................... 105 Terry A. Loring Almost Multiplicative Maps between C*-Algebras ............. 111 David E. Evans The Rohlin Property and Classification of Trace Scaling Automorphisms of AF Algebras ............................... 123 Claudia Pinzari The Ideal Structure of Cuntz-Krieger-Pimsner Algebras and Cuntz-Krieger Algebras over Infinite Matrices .............. 136 Ola Bratteli and Palle E.T. Jorgensen A Connection between Multiresolution Wavelet Theory of Scale N and Representations of the Cuntz Algebra On ........ 151 II - Von Neumann Algebras, Inclusions and Automorphisms Yoshikazu Katayama, Colin E. Sutherland, Masamichi Takesaki The Structure of the Automorphism Group of a Factor and Cocycle Conjugacy of Discrete Group Actions ................ 166 Sorin Popa Amenability in the Theory of Subfactors .................... 199 Dietmar Bisch A Colored Generalization of the Temperley-Lieb Algebra via Sub-factors ............................................ 212 Claire Anantharaman-Delaroche Amenability of Bimodules and Operator Algebras ............. 225 Hideki Kosaki Automorphisms arising from Composition of Subfactors ....... 236 Masaki Izumi Goldman's Type Theorems in Index Theory .................... 249 Yasuyuki Kawahigashi Quantum Doubles and Orbifold Subfactors .................... 271 Karl-Henning Rehren Generalized Cuntz Algebras associated with Subfactors ...... 284 Uffe Haagerup Orthogonal Maximal Abelian *-Subalgebras of the n × n Matrices and Cyclic n-Roots ................................ 296 Erik Christensen and Allan M. Sinclair A Cohomological Characterization of Approximately Finite Dimensional von Neumann Algebras ........................... 323 III - Noncommutative Geometry, Quantization and Deformations Alain Connes Noncommutative Differential Geometry and the Structure of Space Time .............................................. 330 L. Carminati, B. Iochum, D. Kastler, T. Schücker On Connes' New Principle of General Relativity: Can Spinors hear the Forces of Spacetime? ...................... 359 Marc A. Rieffel On the Operator Algebra for the Space-time Uncertainty Relations .................................................. 374 Florin Radulescu Quantum Dynamics and Berezin's Deformation Quantization .... 383 Magnus B. Landstad Quantizations of Groups and Homogeneous Spaces ............. 390 Jonathan Rosenberg Behavior of К-Theory under Quantization .................... 404 Ryszard Nest and Boris Tsygan Product Structures in (Cyclic) Homology and their Applications ............................................... 414 Daniele Guido, Tommaso Isola Singular Traces and their Applications to Geometry ......... 440 IV - Free Entropy and Noncommutative Dynamical Systems Dan Vokulescu Topics in Free Entropy ..................................... 458 E. Stormer States on Infinite Free Products of C*-Algebras and Entropy of Free Shifts ..................................... 463 Marie Choda Endomorphisms of Shift Type (Entropy for Endomorphisms of Cuntz Algebras) ......................................... 469 William Arveson Dynamical Invariants for Noncommutative Flows .............. 476 Robert Т. Powers Recent Results Concerning E0-Semigroups of B(H)............. 515 Jerome Kaminker, Ian Putnam and Jack Spielberg Operator Algebras and Hyperbolic Dynamics .................. 525 Christian Skau Orbit Structure of Topological Dynamical Systems and its Invariants ................................................. 533 V - Quantum Field Theory Romeo Brunetti and Klaus Fredenhagen Interacting Quantum Fields in Curved Space: Renormalizability of ø4 .................................... 546 Rainer Verch Scaling Algebras, the Renormalization Group and the Principle of Local Stability in Algebraic Quantum Field Theory ..................................................... 564 Bernard S. Kay Quantum Fields in Curved Spacetime: Non Global Hyperbolicity and Locality ................................. 578 Hans-Jürgen Borchers Half-Sided Modular Inclusions and Structure Analysis in Quantum Field Theory ....................................... 589 Hans-Werner Wiesbrock Modular Inclusions and Intersections of Algebras in QFT .... 609 Kornél Szlachányi Weak Hopf Algebras ......................................... 621 Stephen J. Summers Bell's Inequalities and Algebraic Structure ................ 633 D. Buchholz, S. Doplicher, G. Morchio, J.E. Roberts, F. Strocchi A Model for Charges of Electromagnetic Type ................ 647 Roberto Longo On the Spin-Statistics Relation for Topological Charges .... 661 Addresses of Authors .......................................... 671 List of participants .......................................... 673