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Poslední úprava: doc. RNDr. Pavel Pyrih, CSc. (17.07.2021)
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Poslední úprava: prof. RNDr. Ondřej Kalenda, Ph.D., DSc. (20.07.2021)
The course is finished by an exam. |
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Poslední úprava: prof. RNDr. Ondřej Kalenda, Ph.D., DSc. (20.07.2021)
G. J. Murphy, C*-Algebras and Operator Theory K. R. Strung, An introduction to C*-algebras and the classification program K. R. Davidson, C*-algebras by Example J. Renault, A groupoid approach to C*-algebras |
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Poslední úprava: prof. RNDr. Ondřej Kalenda, Ph.D., DSc. (20.07.2021)
The students could choose between a seminar on a topic of self study or a standard oral examination from the topics presented during the semester. |
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Poslední úprava: prof. RNDr. Ondřej Kalenda, Ph.D., DSc. (20.07.2021)
1. Basic definitions and Examples 2. Gelfand-Naimark and continuous functional calculus 3. Positive elements, positivity and partial order 4. Hereditary C*-subalgebras 5. Functionals and representations 6. GNS construction 7. Representations 8. Completely positive maps 9. Tensor products 10. Inductive limits and AF algebras 11. Group C*-algebras 12. Crossed products 13. Groupoids 14. Groupoid C*-algebras 15. Twisted groupoid C*-algebras and Cartan subalgebras
Some suggested self-study topics:
1. Cantor minimal systems 2. graph C*-algebras 3. classification AF algebras 4. Compact quantum groups 5. Cuntz algebras |
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Poslední úprava: prof. RNDr. Ondřej Kalenda, Ph.D., DSc. (20.07.2021)
Basic functional analysis |