NSCPHD1099 C*-algebras and dynamical systems (C*DynSys)
The course covers various aspects of the interplay between dynamical systems and operator algebras. The starting point for this interplay is two constructions associating C*-algebras to dynamics: crossed products and the Cuntz-Krieger algebras. The participants are not expected to have any prior experience with dynamical systems. Most emplasis will be on topological dynamics, but measure-theoretical dynamics will also be discussed, primarily in the context of ergodicity.
Properties of basic classes of dynamical systems, in particular shift spaces. The key constructions and their structure (ideals and K-theory)
Use functional calculus/spectral theory as well as completeness.
Extract information about dynamical systems from their operator algebras, and vice versa.
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- 7,5 ECTS
- Type of assessment
- Continuous assessmentPass/fail based on 3 compulsory handins during the course
- All aids allowed
- Marking scale
- passed/not passed
- Censorship form
- No external censorship
One internal examiner
- Reexam: 30 minutes oral exam without preparation time, severel internal examiners, pass/ fail.
Criteria for exam assesment
The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.
- Theory exercises
- Project work