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Final oral exam is on December 12 (Friday), at room 720, with the following schedule:

1. 13:00-13:45: Harald
2. 13:45-14:30: Oskar
3. 14:30-15:15: H?vard

For the first part, please prepare your presentation on this problem set for up to 15 minutes. You can look at your notes for this part.

There were two errors in the assignment problem (Problems 2 and 4). Please refer to the revised problem set.

Mandatory assignment problems are available here: PDF

Submit your answer on Canvas system. The deadline is Friday, 31 October.

H?vard Moe (haavamoe@uio.no) is the student representative for this course.

We cancel the lecture on Friday, 17 October. On Friday, 24 October, Sergey Neshveyev will step in as a substitute teacher.

Makoto

Welcome to the C*-algebra course!

Our plan is to cover the following topics, roughly in this order:

• First examples of C*-algebras
• Commutative case
  • Gelfand transform and functional calculus
  • Gelfand-Naimark theorem
• Basic structure theory
  • Unitization Positive elements
  • Approximate units
  • Ideals and homomorphisms
  • Tensor products
• von Neumann algebras
  • Operator topologies; von Neumann algebras
  • von Neumann's double commutant theorem
  • Kaplansky's density theorem
• Representation theory of operator algebras
  • States; Gelfand-Naimark-Segal construction
  • Irreducible representations and pure states
  • Representations of algebras of compact operators; Voiculescu¡¯s theorem
...