NMAK16020U  Topics in Operator Algebras

Volume 2018/2019
Education

MSc Programme in Mathematics

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
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 Introduction to Operator Algebras (IntroOpAlg) or similar.
4 hours of lectures and 2 hours of exercises per week for 8 weeks.
Continuous feedback during the course of the semester
Credit
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
Re-exam

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

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