Lecturer:
Course Type:
PhD Course
Academic Year:
2016-2017
Period:
Oct-Dec
Duration:
20 h
Description:
This course provides a brief introduction to C*-algebras. The course will cover at least the following topics:
- brief recap on Banach spaces and linear operators;
- Banach algebras: spectrum, Gelfand transform, Stone-Weierstrass theorem;
- C*-algebras: definition and basic properties;
- Gelfand-Naimark duality between commutative C*-algebras and locally compact Hausdorff spaces;
- continuous functional calculus;
- GNS (Gelfand-Naimark-Segal) construction.
Additional Material:
Research Group:
Location:
Mondays A-136, Thursdays A-004, Thursday 24 November A-005,Thursday December 1 TBA