An Introduction to Operator Algebras

An Introduction to Operator algebras is a concise text/reference that focuses on the fundamental results in operator algebras. Results discussed include Gelfand’s representation of commutative C*-algebras, the GNS construction, the spectral theorem, polar decomposition, von Neumann’s double commutant theorem, Kaplansky’s theorem, the (continuous, Borel and L=) functional calculus for normal operators and type decomposition for von Neumann algebras. Exercises are provided after each chapter.