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Mathematical Methods of Quantum Mechanics

Mathematical Methods in Quantum Statistical Physics

venue and schedule: Mo + Tue, 9:15-11:00, room A-136; Tue 31 Jan in A-132
start: 16 January 2017
duration: 40 hours (2 cycles); partial credits are possible
office hours: Tue, 15:00-16:00, office A-724

Introduction to C*-algebras and applications

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.


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