Math 693: Von Neumann Algebras

Announcements

Syllabus and other Information

See the graduate course descriptions page for the syllabus.

My office is Math 446. Feel free to stop by if the door is open. Otherwise, office hours will be by appointment. Email me at tsincla(at)purdue(dot)edu or see me before/after class to schedule a meeting.

Resources

Functional Analysis and Operator Theory

• B. Blackadar, "Operator Algebras," online version.
• J.B. Conway, "A Course in Functional Analysis."
• K.R. Davidson, "C*-Algebras by Example."
• R.G. Douglas, "Banach Algebra Techniques in Operator Theory."

Von Neumann Algebras

• V.F.R. Jones, "Von Neumann Algebras," online lecture notes or here.
• J. Peterson, "Notes on von Neumann Algebras," online lecture notes.
• S. Stratila and L. Szido, "Von Neumann Algebras."
• K. Zhu, "An Introduction to Operator Algebras."

Other Resources

Very short, elementary proof of Banach-Steinhaus not using* Baire Category. (*The axiom of dependent choice is invoked, however, which is equivalent to Baire Category!)

Von Neumann's short and elegant proof of the Radon-Nikodym theorem, courtesy of Blame It On The Analyst.