Spring semester 2024/2025: 14-18 on Mondays, room 3220

Office hours: Wednesdays 10-12 at IMPAN (office 424) or make an appointment by e-mail

Resources:

• Introduction to II1 factors (by Anantharaman and Popa)

• Functional analysis notes (by Vaes and Wasilewski, spectral theorem is Lecture 4)

• Notes on C*-algebras (by Putnam)

Problems:

• 1. series of problems 

• 2. series of problems 

• 3. series of problems 

• 4. series of problems 

• 5. series of problems 

• 6. series of problems 

• 7. series of problems 

• 8. series of problems 

• 9. series of problems 

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• 12. series of problems 

Topics for presentations:

1. AF C*-algebras and Bratteli diagrams.

2. Graph C*-algebras and Cuntz-Krieger algebras.

3. Construction of type III von Neumann algebras.

4. Noncommutative L^p-spaces.

5. Completely positive maps and Stinespring's theorem.

6. Modules and von Neumann dimension.

7. Nuclearity of C*-algebras.

8. Fullness of von Neumann algebras.

9. Voiculescu's free Gaussian von Neumann algebras.

10. Haagerup's approximation property.

11. Hilbert modules over C*-algebras.

12. K-theory of C*-algebras.

13. Simplicity of group C*-algebras and Powers' averaging.

W roku akademickim 2023/2024 prowadziłem kurs Grafy kwantowe na Uniwersytecie Warszawskim.

• Lecture notes on quantum graphs 

Konsultacje: środa 10-12, pokój 424 IM PAN

• 1. seria zadań 

• 2. seria zadań 

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• 14. seria zadań