C*-Algebras and Operator Theory

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9780125113601: C*-Algebras and Operator Theory

This book constitutes a first- or second-year graduate course in operator theory. It is a field that has great importance for other areas of mathematics and physics, such as algebraic topology, differential geometry, and quantum mechanics. It assumes a basic knowledge in functional analysis but no prior acquaintance with operator theory is required.

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This book introduces the reader, graduate student, and non-specialist alike to a lively and important area of mathematics. By its careful and detailed presentation, the book enables the reader to approach the contemporary literature with confidence. A plentiful number of exercises and the choice of topics, which reflect current research interests, distinguish this book from other texts. In addition to the basic theorems of operator theory, including the spectral theorem, the Gefland-Naimark theorem, the double communtant theorem, and the Kaplanski density theorem, some major topics covered by this text are: K-theory, tensor products, and representation theory of C*-algebras.

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