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Advances in Operator Algebras and Mathematical Physics
Edited by: Florin-Petre Boca, Univ of Illinois, Urbana, IL, Ola Bratteli, University of Oslo, Norway, Roberto Longo, University of Rome Tor Vergata, Italy, and Heinz Siedentop, University of Regensburg, Germany
A publication of the Theta Foundation.
International Book Series of Mathematical Texts
2006; 286 pp; hardcover
ISBN-10: 973-85432-7-4
ISBN-13: 978-973-85432-7-0
List Price: US$42
Member Price: US$33.60
Order Code: THETA/8
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A series of international conferences in operator algebras and mathematical physics was initiated by the Institute of Mathematics of Bucharest in 2001. The second meeting was held in Sinaia from June 26 to July 4, 2003. The volume contains the proceedings of this conference. It consists of eighteen refereed papers, pointing out the interrelation of these two important domains of research. Among the subjects covered are structure and classification of C*-algebras, invariants for subfactors and connections with quantum field theory, quantum systems, Weyl pseudo-differential calculus and twisted crossed products, Schrödinger operators, trace class approach for scattering, coherent states, quantum gauge theories, fractals and spectral triples, invariant subspaces and reflexivity in operator algebras,and amenability for groupoids.

A publication of the Theta Foundation. Distributed worldwide, except in Romania, by the AMS.


Graduate students and research mathematicians interested in analysis and mathematical physics.

Table of Contents

  • S. Berceanu -- Realization of coherent state Lie algebras by differential operators
  • M. R. Buneci -- Amenable equivariant maps defined on a groupoid
  • S. Carpi and M. Weiner -- Uniqueness of the \(Diff^+(S$1)\) symmetry for local nets of von Neumann algebras
  • V. Deaconu -- \(C^\ast\)-algebras of commuting endomorphisms
  • P. Duclos, E. Soccorsi, P. Stovicek, and M. Vittot -- Dynamical localization in periodically driven quantum systems
  • D. E. Evans and P. R. Pinto -- Modular invariants and the double of the Haagerup subfactor
  • D. Guido and T. Isola -- Dimensions and spectral triples for fractals in \(R^N\)
  • C. Ivanescu -- On the classification of continuous trace \(C^\ast\)-algebras with spectrum homeomorphic to the closed interval \([0,1]\)
  • M. Mantoiu, R. Purice, and S. Richard -- Twisted crossed products and magnetic pseudodifferential operators
  • G. Nenciu -- On the smoothness of gap boundaries for generalized Harper operators
  • G. K. Pedersen -- A note on fixed points of completely positive maps
  • B. Prunaru -- Dual algebras and approximate reflexivity
  • M. Rordam -- The real rank of certain simple \(C^\ast\)-algebras
  • G. Scharf -- Supersymmetric quantum gauge theories
  • H. Siedentop -- The relativistic electron-positron field
  • A. L. Svendsen -- Outer automorphisms of a series of non-amenable subfactors
  • M. Vittot -- A Lie algebra point of view on global perturbation theory
  • D. R. Yafaev -- Trace-class approach in scattering problems for perturbations of media
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