
| Course Code | : MTK524 |
| Course Type | : Area Elective |
| Couse Group | : Second Cycle (Master's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 3 |
| Prt. | : 0 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 6 |
The course aim to introduce C*-algebras by giving the basic definition and theorems of C*-algebras.
The definition and examples of C*-algebras, commutative C*-algebras, quotient C*-algebras, representations, the dual of a C*-algebra, automorphisms of C*-algebras.
| 1. | Ability to understand the concept of C*-algebra, its basic properties and ability to recognize the examples of some C*-algebras. |
| 2. | Ability to understand the concept of a functional on C*-algebras. |
| 3. | Ability to understand quotient C*-algebras. |
| 4. | Ability to find the dual of a C*-algebra. |
| 5. | Ability to find automorphisms of C*-algebras. |
| 1. | C*-Algebras and Operator Theory, Gerald J. Murphy, Academic Press Inc., San Diego, 1990. |
| 2. | C*-Algebras and W*-Algebras, S. Sakai, Springer-Verlag, New York, 1970. |
| Type of Assessment | Count | Percent |
|---|---|---|
| Assignment | 1 | %5 |
| Term Assignment | 1 | %5 |
| Midterm Examination | 1 | %20 |
| Final Examination | 1 | %70 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 1 | 3 | 56 |
| Assignment | 1 | 10 | 2 | 12 |
| Term Project | 1 | 10 | 2 | 12 |
| Individual Work | 14 | 0 | 1 | 14 |
| Midterm Examination | 1 | 20 | 2 | 22 |
| Final Examination | 1 | 32 | 2 | 34 |
| TOTAL WORKLOAD (hours) | 150 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | PÇ-13 | PÇ-14 | PÇ-15 | |
OÇ-1 | 3 | 4 | 4 | 3 | 3 | 4 | 3 | 4 | |||||||
OÇ-2 | 4 | 4 | 4 | 4 | 3 | 4 | 3 | 4 | |||||||
OÇ-3 | 4 | 4 | 4 | 4 | 3 | 4 | 3 | 4 | |||||||
OÇ-4 | 4 | 4 | 4 | 4 | 4 | 4 | 3 | 3 | 4 | ||||||
OÇ-5 | 4 | 4 | 4 | 4 | 4 | 4 | 3 | 3 | 4 | ||||||