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Book
Operator algebras and applications : the Abel Symposium 2015
Authors: --- --- ---
ISBN: 3319392840 3319392867 Year: 2016 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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Abstract

Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras. It is interesting to see the remarkable advances that have been made in operator algebras over these years, which strikingly illustrate the vitality of the field. A total of 26 talks were given at the symposium on a variety of themes, all highlighting the richness of the subject. The field of operator algebras was created in the 1930s and was motivated by problems of quantum mechanics. It has subsequently developed well beyond its initial intended realm of applications and expanded into such diverse areas of mathematics as representation theory, dynamical systems, differential geometry, number theory and quantum algebra. One branch, known as “noncommutative geometry”, has become a powerful tool for studying phenomena that are beyond the reach of classical analysis. This volume includes research papers that present new results, surveys that discuss the development of a specific line of research, and articles that offer a combination of survey and research. These contributions provide a multifaceted portrait of beautiful mathematics that both newcomers to the field of operator algebras and seasoned researchers alike will appreciate.


Digital
Operator Algebra and Dynamics : Nordforsk Network Closing Conference, Faroe Islands, May 2012
Authors: --- --- ---
ISBN: 9783642394591 Year: 2013 Publisher: Berlin, Heidelberg Springer

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Abstract

Based on presentations given at the NordForsk Network Closing Conference “Operator Algebra and Dynamics,” held in Gjáargarður, Faroe Islands, in May 2012, this book features high quality research contributions and review articles by researchers associated with the NordForsk network and leading experts that explore the fundamental role of operator algebras and dynamical systems in mathematics with possible applications to physics, engineering and computer science.   It covers the following topics: von Neumann algebras arising from discrete measured groupoids, purely infinite Cuntz-Krieger algebras, filtered K-theory over finite topological spaces, C*-algebras associated to shift spaces (or subshifts), graph C*-algebras, irrational extended rotation algebras that are shown to be C*-alloys, free probability, renewal systems, the Grothendieck Theorem for jointly completely bounded bilinear forms on C*-algebras, Cuntz-Li algebras associated with the a-adic numbers, crossed products of injective endomorphisms (the so-called Stacey crossed products), the interplay between dynamical systems, operator algebras and wavelets on fractals, C*-completions of the Hecke algebra of a Hecke pair, semiprojective C*-algebras, and the topological dimension of type I C*-algebras.   Operator Algebra and Dynamics will serve as a useful resource for a  broad spectrum of researchers and  students in mathematics, physics, and engineering.


Digital
Operator Algebras and Applications : The Abel Symposium 2015
Authors: --- --- ---
ISBN: 9783319392868 Year: 2016 Publisher: Cham Springer International Publishing

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Abstract

Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras. It is interesting to see the remarkable advances that have been made in operator algebras over these years, which strikingly illustrate the vitality of the field. A total of 26 talks were given at the symposium on a variety of themes, all highlighting the richness of the subject. The field of operator algebras was created in the 1930s and was motivated by problems of quantum mechanics. It has subsequently developed well beyond its initial intended realm of applications and expanded into such diverse areas of mathematics as representation theory, dynamical systems, differential geometry, number theory and quantum algebra. One branch, known as “noncommutative geometry”, has become a powerful tool for studying phenomena that are beyond the reach of classical analysis. This volume includes research papers that present new results, surveys that discuss the development of a specific line of research, and articles that offer a combination of survey and research. These contributions provide a multifaceted portrait of beautiful mathematics that both newcomers to the field of operator algebras and seasoned researchers alike will appreciate.


Book
Operator algebra and dynamics : Nordforsk Network Closing Conference, Faroe Islands, May 2012
Authors: --- --- --- ---
ISBN: 3642394582 3642394590 Year: 2013 Publisher: Heidelberg, Germany : Springer,

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Abstract

Based on presentations given at the NordForsk Network Closing Conference “Operator Algebra and Dynamics,” held in Gjáargarður, Faroe Islands, in May 2012, this book features high quality research contributions and review articles by researchers associated with the NordForsk network and leading experts that explore the fundamental role of operator algebras and dynamical systems in mathematics with possible applications to physics, engineering and computer science.   It covers the following topics: von Neumann algebras arising from discrete measured groupoids, purely infinite Cuntz-Krieger algebras, filtered K-theory over finite topological spaces, C*-algebras associated to shift spaces (or subshifts), graph C*-algebras, irrational extended rotation algebras that are shown to be C*-alloys, free probability, renewal systems, the Grothendieck Theorem for jointly completely bounded bilinear forms on C*-algebras, Cuntz-Li algebras associated with the a-adic numbers, crossed products of injective endomorphisms (the so-called Stacey crossed products), the interplay between dynamical systems, operator algebras and wavelets on fractals, C*-completions of the Hecke algebra of a Hecke pair, semiprojective C*-algebras, and the topological dimension of type I C*-algebras.   Operator Algebra and Dynamics will serve as a useful resource for a  broad spectrum of researchers and  students in mathematics, physics, and engineering.

Keywords

Civil & Environmental Engineering --- Engineering & Applied Sciences --- Operations Research --- Mathematical analysis. --- Algebra. --- 517.1 Mathematical analysis --- Mathematical analysis --- Mathematics. --- Associative rings. --- Rings (Algebra). --- Group theory. --- Topological groups. --- Lie groups. --- Harmonic analysis. --- Dynamics. --- Ergodic theory. --- Functional analysis. --- Abstract Harmonic Analysis. --- Associative Rings and Algebras. --- Dynamical Systems and Ergodic Theory. --- Functional Analysis. --- Group Theory and Generalizations. --- Topological Groups, Lie Groups. --- Mathematics --- Differentiable dynamical systems. --- Topological Groups. --- Groups, Topological --- Continuous groups --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Ergodic transformations --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Algebraic rings --- Ring theory --- Algebraic fields --- Rings (Algebra) --- Operator algebras --- Differentiable dynamical systems

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