C*-Algebras and Operator Theory


  • Gerald Murphy, University College, Cork, Ireland

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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First- and second-year graduate students.


Book information

  • Published: August 1990
  • ISBN: 978-0-12-511360-1

Table of Contents

Elementary Spectral Theory. C*-Algebras and Hilbert Space Operators. Ideals and Positive Functionals. Von Neumann Algebras. Representations of C*-Algebras. Direct Limits and Tensor Products. K-Theory of C*-Algebras.