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 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
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.

Academic qualifications equivalent to a BSc degree is recommended.

Continuous feedback during the course of the semester
ECTS
7,5 ECTS
Type of assessment
Continuous assessment
During the course each participant gives a 45 min presentation on a topic from the course syllabus, and she/he also provides lecture notes for the presentation.
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
  • Preparation
  • 98
  • Exercises
  • 16
  • Project work
  • 60
  • English
  • 206