|
| Udgave: |
Efterår 2012 NAT |
| Point: |
7,5 |
| Blokstruktur: |
2. blok |
| Skemagruppe: |
A |
| Fagområde: |
mat |
Semester: |
Efterår |
| Varighed: |
9 uger |
| Institutter: |
Institut for Matematiske Fag |
| Uddannelsesdel: |
Kandidat niveau |
| Kontaktpersoner: |
Magdalena Musat, tlf. 35 32 07 45, rum 04.2.05, email: musat@math.ku.dk og
Uffe Haagerup, tlf. 35 32 06 81, rum 04.4.07, email: haagerup@math.ku.dk |
| Skema- oplysninger: |
 Vis skema for kurset
Samlet oversigt over tid og sted for alle kurser inden for Lektionsplan for Det Naturvidenskabelige Fakultet Efterår 2012 NAT |
| Undervisnings- periode: |
19. november 2012 - 27. januar 2013 |
| Undervisnings- form: |
4 timers forelæsning, 2 timers øvelser/diskussion pr uge |
| Indhold: |
This will include the following topics: amenable groups, nuclear C*-algebras, injective von
Neumann algebras, exactness for C*-algebras and groups, the completely contractive and completely bounded approximation properties (CCAP and CBAP, respectively) and the Haagerup property (property H). If time permits, Kazhdan's property T for groups and von Neumann algebras will also be discussed.
|
| Målbeskrivelse: |
This course aims at providing a comprehensive treatment of a number of approximation properties for countable groups and their corresponding counterparts for von Neumann algebras and C*-algebras.
|
| Lærebøger: |
Nathanial P. Brown, Narutaka Ozawa: C*-algebras and finite dimensional approximations, Graduate Texts in Mathematics Vol. 88, Amer. Math. Society, Providence, Rhode-Island, 2008, and research papers. |
| Tilmelding: |
Kursus- og eksamenstilmelding og afmelding sker på
www.kunet.dk
Tilmelding skal ske i perioden den 15. maj – 1. juni 2012.
|
| Faglige forudsætninger: |
Introduction to operator algebras.
|
| Eksamensform: |
Continuous assessment without censor, with grade given for an in-class presentation of a project. Grade system: pass/fail.
Reexamination: Oral, 30 minutes, internal co-examiner.
|
| Eksamen: |
Løbende evaluering.
Reeksamen: Mundtlig prøve den 18. april 2013. |
| Kursus hjemmeside: |
 |
| Undervisnings- sprog: |
Engelsk
|
| Sidst redigeret: |
25/4-2012 |