This elegantly edited landmark edition of Gert Kjaergard Pedersen's C*-Algebras and their Automorphism Groups (1979) carefully and sensitively extends the classic work to reflect the wealth of relevant novel results revealed over the past forty years. Revered from publication for its writing clarity and extremely elegant presentation of a vast space within operator algebras, Pedersen's monograph is notable for reviewing partially ordered vector spaces and group automorphisms in unusual detail, and by strict intention releasing the C*-algebras from the yoke of representations as Hilbert space operators. Under the editorship of Soren Eilers and Dorte Olesen, the second edition modernizes Pedersen's work for a new generation of C*-algebraists, with voluminous new commentary, all-new indexes, annotation and terminology annexes, and a surfeit of new discussion of applications and of the author's later work.

Based on presentations given at the NordForsk Network Closing Conference Operator Algebra and Dynamics, held in Gjaargarour, 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), graph"C*"-algebras, irrational extended rotationalgebras that are shown to be"C*"-alloys, free probability, renewal systems, the Grothendieck Theorem for jointly completelybounded bilinear forms on"C*"-algebras, Cuntz-Li algebrasassociatedwith the"a"-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, semiprojective"C*-"algebras, and the topologicaldimension 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.

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Mathematics is not, and never will be, an empirical science, but mathematicians are finding that the use of computers and specialized software allows the generation of mathematical insight in the form of conjectures and examples, which pave the way for theorems and their proofs. In this way, the experimental approach to pure mathematics is revolutionizing the way research mathematicians work. As the first of its kind, this book provides material for a one-semester course in experimental mathematics that will give students the tools and training needed to systematically investigate and develop mathematical theory using computer programs written in Maple. Accessible to readers without prior programming experience, and using examples of concrete mathematical problems to illustrate a wide range of techniques, the book gives a thorough introduction to the field of experimental mathematics, which will prepare students for the challenge posed by open mathematical problems.