NMAK13010U Introduction to Equivariant KK-theory and Baum-Connes Conjecture
Volume 2013/2014
Education
MSc programme in
Mathematics
Content
Hilbert modules;
Definition and basic properties of (equivariant) KK-theory for
C*-algebras; The Kasparov product; Applications to K-theory
(including the Baum-Connes conjecture).
Learning Outcome
Knowledge: By
the end of the course, the student will be familiar with the basic
definitions and properties of KK-theory, and its relationship to
K-theory for C*-algebras.
Skills: The student will be able to give precise statements of the main definitions, theorems and examples in the subject, and provide proofs of the standard properties of KK-theory.
Competences: The student will use the basic results to construct classes in KK-theory, and to compute K- and KK-groups and Kasparov products, in particular cases. The student will apply these computations to a variety of problems in operator algebras, topology, and representation theory.
Skills: The student will be able to give precise statements of the main definitions, theorems and examples in the subject, and provide proofs of the standard properties of KK-theory.
Competences: The student will use the basic results to construct classes in KK-theory, and to compute K- and KK-groups and Kasparov products, in particular cases. The student will apply these computations to a variety of problems in operator algebras, topology, and representation theory.
Academic qualifications
Topological K-theory for
operator algebras.
Teaching and learning methods
5 hours of lectures and 3
hours of exercises per week.
Workload
- Category
- Hours
- Lectures
- 45
- Preparation
- 134
- Theory exercises
- 27
- Total
- 206
Sign up
Self Service at KUnet
As an exchange, guest and credit student - click here!
Continuing Education - click here!
As an exchange, guest and credit student - click here!
Continuing Education - click here!
Exam
- Credit
- 7,5 ECTS
- Type of assessment
- Continuous assessmentThe assessment will be via regular written assignments.
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
one internal examiner.
Criteria for exam assesment
The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome.
Course information
- Language
- English
- Course code
- NMAK13010U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 2
- Schedule
- B
- Course capacity
- No limit
- Continuing and further education
- Study board
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Course responsibles
- Tyrone Crisp
Lecturers
Phone +45 35 32 07 47, office 04.2.07
Saved on the
30-04-2013