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Operator Algebra and Dynamics
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Based on presentations given at the NordForsk Network Closing Conference Operator Algebra and Dynamics, held in Gjargarur,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 operatoralgebras 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, filteredK-theory over finite topological spaces,C*-algebras associated to shift spaces (or subshifts),graphC*-algebras, irrational extended rotationalgebras that are shown to beC*-alloys, free probability, renewal systems, the Grothendieck Theorem for jointly completelybounded bilinear forms onC*-algebras, Cuntz-Li algebrasassociatedwith thea-adic numbers, crossed products of injective endomorphisms (the so-called Stacey crossedproducts), the interplay between dynamical systems, operator algebras and wavelets on fractals,C*-completions of the Hecke algebra of a Hecke pair,semiprojectiveC*-algebras, and the topologicaldimension of type IC*-algebras. Operator Algebra and Dynamicswill serve as a useful resource for a broad spectrum of researchers and students in mathematics, physics, and engineering.
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