Operator Algebras

3 credits · Graduate School

Banach algebras. The Gelfand transform. C*-algebras and von Neumann algebras. Positivity. States. The Gelfand-Naimark-Segal construction. *-representations of C*-algebras. Von Neumann's bicommutant theorem. Kaplansky's density theorem. Comparison theory of projections. Examples and applications. Prerequisites: 6101 and 7120. [3]