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Topics in Operator Algebras
Provider: Faculty of Science

Activity no.: 5582-21-07-31 
Enrollment deadline: 22/11/2021
PlaceDepartment of Mathematical Sciences
Universitetsparken 5, 2100 København Ø
Date and time22.11.2021, at: 08:00 - 30.01.2022, at: 16:00
Regular seats50
ECTS credits7.50
Contact personNina Weisse    E-mail address: weisse@math.ku.dk
Enrolment Handling/Course OrganiserMikael Rørdam    E-mail address: rordam@math.ku.dk
Written languageEnglish
Teaching languageEnglish
Semester/BlockBlock 2
Scheme groupB
Exam formContinuous assessment
Exam formContinuous assessment
Exam detailsDuring 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.
Grading scalePassed / Not passed
Course workload
Course workload categoryHours
Lectures32.00
Exercises16.00
Preparation98.00
Project work60.00
Sum206.00
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.

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

Lecturers
Course Coordinators: Mikael Rørdam & Magdalena Elena Musat

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