NMAK23014U Topics in Operator Algebras
Volume 2024/2025
Education
MSc Programme in Mathematics
MSc Programme in Mathematics with a minor subject
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
- 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.
Recommended Academic Qualifications
Functional Analysis
(FunkAn) and Operator Algebras or similar.
Academic qualifications equivalent to a BSc degree is recommended.
Academic qualifications equivalent to a BSc degree is recommended.
Teaching and learning methods
4 hours of lectures and 2
hours of exercises per week for 8 weeks.
Workload
- Category
- Hours
- Lectures
- 32
- Preparation
- 98
- Exercises
- 16
- Project work
- 60
- Total
- 206
Feedback form
Continuous feedback during the course of the
semester
Sign up
Self Service at KUnet
Exam
- Credit
- 7,5 ECTS
- Type of assessment
- Continuous assessment
- Type of assessment details
- 3 written assignments, each of which counts equally towards the final grade.
- Aid
- All aids allowed
- Marking scale
- 7-point grading scale
- 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 should convincingly and accurately demonstrate the knowledge, skills and competences described under Intended learning outcome.
Course information
- Language
- English
- Course code
- NMAK23014U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 1
- Schedule
- A
- Course capacity
- No limitation – unless you register in the late-registration period (BSc and MSc) or as a credit or single subject student.
Study board
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Contracting faculty
- Faculty of Science
Course Coordinators
- Magdalena Elena Musat (5-7f87857386527f73867a407d8740767d)
- Mikael Rørdam (6-858285777480538074877b417e8841777e)
- Søren Eilers (6-787c7f788586538074877b417e8841777e)
Saved on the
14-02-2024