NMAK23014U Topics in Operator Algebras

Volume 2023/2024

MSc Programme in Mathematics
MSc Programme in Mathematics with a minor subject


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

  • Dynamical systems and crossed products
  • Groups, groupoids and their C*-algebras
  • Graph C*-algebras
  • K-theory and classification
  • von Neumann algebras
  • Operator algebras and applications to quantum information theory
  • Stability properties of groups and emerging applications
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. 
Functional Analysis (FunkAn) and Operator Algebras or similar.

Academic qualifications equivalent to a BSc degree is recommended.
4 hours of lectures and 2 hours of exercises per week for 8 weeks.
  • Category
  • Hours
  • Lectures
  • 32
  • Preparation
  • 98
  • Exercises
  • 16
  • Project work
  • 60
  • Total
  • 206
Continuous feedback during the course of the semester
7,5 ECTS
Type of assessment
Continuous assessment
Type of assessment details
3 written assignments, each of which counts equally towards the final grade.
All aids allowed
Marking scale
7-point grading scale
Censorship form
No external censorship
One internal examiner

30 minutes oral examination with 30 minutes preparation time during which all aids are allowed.

For the examination, the students are allowed to bring a one page disposition (max. 20 words), that they have written during the preparation time. Several internal examiners.

Criteria for exam assesment

The student should convincingly and accurately demonstrate the knowledge, skills and competences described under Intended learning outcome.