Course Contents
Banach algebras, ideals and homomorphisms, spectral theory in Banach algebras, Gelfand theory for commutative an non-commutative algebras, positivity, states, representations, GNS-construction, irreducible representations and pure states, Toeplitz operators
Literature
Arveson: An Invitation to C*-Algebras;
Davidson: C*-Algebras by Example;
Murphy: C*-Algebras and Operator Theory.
Preconditions
recommended: Functional Analysis
Banach algebras, ideals and homomorphisms, spectral theory in Banach algebras, Gelfand theory for commutative an non-commutative algebras, positivity, states, representations, GNS-construction, irreducible representations and pure states, Toeplitz operators
Literature
Arveson: An Invitation to C*-Algebras;
Davidson: C*-Algebras by Example;
Murphy: C*-Algebras and Operator Theory.
Preconditions
recommended: Functional Analysis
- Lehrende: Gelöschter User
Semester: ST 2023