Topics in Operator Algebras

Course content

We will cover various topics in operator algebras, with the precise content depending on the interests of the participants, for example

  • Dynamical systems, C*-algebras, and crossed products
  • K- and KK-theory
  • K-homology and spectral triples
  • Groups, groupoids and C*-algebras
  • Graph C*-algebras
Education

MSc Programme in Mathematics

Learning outcome
  • Knowledge: To display knowledge of the course topics and content.
  • Skills: To be able to use the acquired knowledge to read and understand current research papers.
  • Competences: The student should be able to apply the theory to solve problems of moderate difficulty within the topics of the course. 

4 hours of lectures and 2 hours of exercises per week for 8 weeks.

Functional Analysis (FunkAn) and Introduction to Operator Algebras (IntroOpAlg) or similar.

Continuous feedback during the course of the semester
ECTS
7,5 ECTS
Type of assessment
Continuous assessment
There will be given 3 assignments, each of which has to be passed.
Aid
All aids allowed
Marking scale
passed/not passed
Censorship form
No external censorship
One internal examiner
Criteria for exam assessment

The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.

Single subject courses (day)

  • Category
  • Hours
  • Lectures
  • 32
  • Exercises
  • 16
  • Project work
  • 60
  • Preparation
  • 98
  • English
  • 206