This volume presents the proceedings of the conference on Operator Algebras and Mathematical Physics held in Constanta, Romania. The conference gathered experts to examine and discuss the interesting connections between these two areas.

The book contains 24 research and expository papers reflecting a broad variety of topics from both domains: \(C^*\)-algebras and dynamical systems, geometric and operator algebraic quantization, modular invariants, \(q\)-commutation relations, superselection theory, positive linear maps, groupoids, spectral analysis of Hamiltonians, random operators, and quantum systems. The material is suitable for graduate students and research mathematicians interested in operator algebras, mathematical physics, and their interaction.

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

Readership

Graduate students and research mathematicians interested in operator algebras and mathematical physics.

Table of Contents

• E. J. Beggs -- 2-forms and noncommutative Hamiltonian dynamics
• M.-T. Benameur and H. Oyono-Oyono -- Gap-labelling for quasi-crystals (proving a conjecture by J. Bellissard)
• W. R. Bergmann and R. Conti -- On infinite tensor products of Hilbert \(\ast\)-bimodules
• M. Buneci -- Haar systems and homomorphisms on groupoids
• M. Choda -- Actions of the matrix groups on the free group factors and entropy of automorphisms
• M. Dadarlat -- Some remarks on the universal coefficient theorem in KK-theory
• P. Duclos, O. Lev, P. Šťovíček, and M. Vittot -- Progressive diagonalization and applications
• D. E. Evans -- Critical phenomena, modular invariants and operator algebras
• C. Ferrari and N. Macris -- Spectral properties of finite quantum Hall systems
• V. Georgescu and A. Iftimovici -- \(C^*\)-algebras of quantum Hamiltonians
• F. Hiai -- \(q\)-deformed Araki-Woods algebras
• J. A. Jeong -- Real rank of graph \(C^\ast\)-algebras
• T. Katsura -- On crossed products of the Cuntz algebra \(\mathcal{O}_\infty\) by quasi-free actions of abelian groups
• B. Kuckert -- Moving quantum systems: particles versus vacuum
• S.-H. Kye -- On the facial structures for positive linear maps between matrix algebras
• N. P. Landsman -- Quantization and the tangent groupoid
• D. Lenz and P. Stollmann -- Delone dynamical systems and associated random operators
• W. A. Majewski -- On entanglement of states and quantum correlations
• M. Măntoiu -- \(C^\ast\)-algebras, dynamical systems, spectral analysis
• G. Morsella -- The structure of charges in the ultraviolet and an intrinsic notion of confinement
• D. Pask and S.-J. Rho -- Some intrinsic properties of simple graph \(C^\ast\)-algebras
• N. C. Phillips -- When are crossed products by minimal diffeomorphisms isomorphic?
• J. Renault -- AF equivalence relations and their cocycles
• S. Vaes and A. Van Daele -- The Heisenberg commutation relations, commuting squares and the Haar measure on locally compact quantum groups