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Infinite dimensional representation theory has become one of the mainstays of modern mathematics. This book provides an accessible account of the topics in analytic group representation theory and operator algebras from which much of the subject has evolved. It presents results in a coherent and natural manner and studies the tools useful in various areas of this diversely applied subject. The author's self-contained treatment allows readers to choose from a variety of topics and pursue them independently according to their needs. Beyond serving as both a general reference and as a text, this monograph helps reveal not only the subject's utility, but also its inherent beauty.