| Credits |
8 credit points |
| Instructors |
Müger, M. (Radboud Universiteit Nijmegen) |
| E-mail |
m.mueger@math.ru.nl |
| Aim |
The student is familiar with the basics of the theory of Banach algebras, in particular the Gelfand isomorphism, and C*-algebras as well as the most basic constructions involving them, like crossed products. The student will be ready to embark on a study of more recent work on connections between C*-algebras and number theory. |
| Description |
The course will provide an introduction to the theory of C*-algebras, including many examples, with special focus on those that occur in number theory (such as crossed product algebras, non-commutative tori and Cuntz-Krieger algebras).
|
| Organization |
Lectures, exercise classes, homework. |
| Examination |
Homework to be handed in.
|
| Literature |
Kenneth R. Davidson: C*-Algebras by example.
American Mathematical Society, 1996. |
| Prerequisites |
Solid grounding in classical and functional analysis. An excellent reference for the latter is provided by (roughly the first 100 pages of)
G. Pedersen: Analysis NOW, Springer-Verlag, 1989. |
