NSCPHD1099  C*-algebras and dynamical systems (C*DynSys)

Volume 2014/2015
Content

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.

Learning Outcome

Knowledge
Properties of basic classes of dynamical systems, in particular shift spaces. The key constructions and their structure (ideals and K-theory) 

Skills
Use functional calculus/spectral theory as well as completeness. 

Competence
Extract information about dynamical systems from their operator algebras, and vice versa.

Introduction to operator algebras (IntroOpAlg).
4 hours lectures and 2 hours excercises each week for 9 weeks.
Credit
7,5 ECTS
Type of assessment
Continuous assessment
Pass/fail based on 3 compulsory handins during the course
Aid
All aids allowed
Marking scale
passed/not passed
Censorship form
No external censorship
One internal examiner
Re-exam
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.

  • Category
  • Hours
  • Lectures
  • 36
  • Theory exercises
  • 18
  • Project work
  • 60
  • Preparation
  • 92
  • Total
  • 206