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Mathematical Physics in Mathematics and Physics: Quantum and Operator Algebraic Aspects

About this Title

Roberto Longo, University of Rome II, Rome, Italy, Editor

Publication: Fields Institute Communications
Publication Year: 2001; Volume 30
ISBNs: 978-0-8218-2814-4 (print); 978-1-4704-3054-2 (online)
DOI: https://doi.org/10.1090/fic/030
MathSciNet review: MR1867543
MSC: Primary 00B25; Secondary 00B30, 46-06, 81-06

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Table of Contents

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Front/Back Matter

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Chapters

• Hellmut Baumgärtel and Fernando Lledó – An application of the DR-duality theory for compact groups to endomorphism categories of C*-algebras with nontrivial center
• Jens Böckenhauer and David Evans – Modular invariants and subfactors
• H. Borchers and J. Yngvason – On the PCT-theorem in the theory of local observables
• Detlev Buchholz, Jens Mund and Stephen Summers – Transplantation of local nets and geometric modular action on Robertson-Walker space-times
• Sebastiano Carpi and Roberto Conti – Classification of subsystems, local symmetry generators and intrinsic definition of local observables
• A. Connes and D. Kreimer – From local perturbation theory to Hopf- and Lie-algebras of Feynman graphs
• Claudio D’Antoni and László Zsidó – The flat tube theorem for vector valued functions
• Gianfausto Dell’Antonio – Point interactions
• Michael Dütsch and Klaus Fredenhagen – Perturbative algebraic field theory, and deformation quantization
• Francesco Guerra – Sum rules for the free energy in the mean field spin glass model
• Daniele Guido and Tommaso Isola – Fractals in noncommutative geometry
• Rudolf Haag – What I woud like to understand
• Masaki Izumi – The Rohlin property for automorphisms of $C^*$-algebras
• Giovanni Jona-Lasinio, Carlo Presilla and Cristina Toninelli – Environment induced localization and superselection rules in a gas of pyramidal molecules
• Daniel Kastler – Connes-Moscovici-Kreimer Hopf algebras
• Yoshikazu Katayama and Masamichi Takesaki – The structure of the automorhpism group of an approximately finite dimensional factor
• Yasuyuki Kawahigashi – Braiding and extensions of endomrophisms of subfactors
• N. Landsman – Bicategories of operator algebras and Poisson manifolds
• Roberto Longo – Notes for a quantum index theorem introduction
• Michael Müger – Conformal field theory and Doplicher-Roberts reconstruction
• Sorin Popa – On the distance between MASA’s in type II$_1$ factors
• Robert Powers – Recent results concerning E$_o$-semigroups of $\mathfrak {B}(\mathfrak {H})$
• K.-H. Rehren – Locality and modular invariance in 2D conformal QFT
• Shôichiró Sakai – Tensor products of Banach spaces and the Stone-Weierstrass problem of $C^*$-algebras
• Robert Schrader – Perron-Frobenius theory for positive maps on trace ideals
• Bert Schroer – Space- and time-like superselection rules in conformal quantum field theory
• Kornél Szlachányi – Finite quantum groupoids and inclusions of finite type
• Rainer Verch – On generalizations of the spectrum condition
• Feng Xu – Algebraic orbifold conformal field theories