MAT4360 – C*-algebras
Course description
Schedule, syllabus and examination date
Course content
The subject is a continuation of MAT4450 – Advanced Functional Analysis and the course gives an introduction to the theory of C*-algebras (often called operator algebras). The subject of C*-algebras may be viewed as a branch of functional analysis where particular non-commutative algebras are considered. The main part of the course will cover some of the fundamental results in the theory, including the Gelfand-Naimark representation theorem for C*-algebras, von Neumann`s double commutant theorem and Kaplansky`s density theorem. The examples presented and the additional content of the course will vary somewhat depending on the interests of the students.
Learning outcome
The course is primarily aimed at students who want to write a master thesis about operator algebras, but it may also be useful for other master students and doctoral students.
Admission
Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.
If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.
Overlapping courses
10 credits overlap with MAT9360 – C*-algebras (continued)
*The information about overlaps is not complete. Contact the Department for more information if necessary.
Teaching
4 hours of lectures/exercises per week.
If few students apply for the course, it may be given as self-tuition with one hour of common academic supervision each week.
Examination
Oral exam.
One compulsory assignment needs to be passed within given deadlines to be allowed to take the final exam. Final mark based on oral examination at the end of the semester.
Rules for compulsory assignments at the Department of Mathematics
Examination support material
No examination support material is allowed.
Language of examination
Subjects taught in English will only offer the exam paper in English.
You may write your examination paper in Norwegian, Swedish, Danish or English.
Grading scale
Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.
Explanations and appeals
Resit an examination
Students who can document a valid reason for absence from the regular examination are offered a postponed examination at the beginning of the next semester.
Re-scheduled examinations are not offered to students who withdraw during, or did not pass the original examination.
Withdrawal from an examination
It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.
Special examination arrangements
Application form, deadline and requirements for special examination arrangements.
Evaluation
The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.