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C*-Algebras and Operator Theory

  • ID: 1757861
  • Book
  • 296 Pages
  • Elsevier Science and Technology
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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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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.
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Murphy, Gerald J.
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