Lecture Series: Quasidiagonality of nuclear C*-algebrasUniversity of CopenhagenDates: November 10-12, 2015 |
In a short series of lectures, Aaron Tikuisis (University of Aberdeen), Stuart White (University of Glasgow) and Wilhelm Winter (WWU Münster) will present their recent breakthrough results on quasidiagonality of nuclear C*-algebras.
Abstract: We prove that faithful traces on separable and nuclear C*-algebras in the UCT class are quasidiagonal. This has a number of consequences. Firstly, by results of many hands, the classification of unital, separable, simple and nuclear C*-algebras of finite nuclear dimension which satisfy the UCT is now complete. Secondly, our result links the finite to the general version of the Toms-Winter conjecture in the expected way and hence clarifies the relation between decomposition rank and nuclear dimension. Finally, we confirm the Rosenberg conjecture: discrete, amenable groups have quasidiagonal C*-algebras.
| Day | Time | Place | Speaker | Content |
| Tue 10.11 | 11:15-12:15 | Aud. 8 | S. White |
Introduction / quasidiagonality vs. group amenability |
| 13:45-14:45 | Aud. 8 | W. Winter |
Variations of quasidiagonality / Outline of proof |
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| Wed 11.11 | 10:15-11:15 | Aud. 9 | S. Eilers |
On the classification of nuclear C*-algebras |
| 11:15-12:15 | Aud. 8 | A. Tikuisis | Lebesgue trace cones | |
| 14:15-15:15 | Aud. 8 | S. White | A stable uniqueness theorem | |
| Thu 12.11 | 11:15-12:15 | Aud. 6 | A. Tikuisis | Some details of proof |
| 14:15-15:15 | Aud. 6 | W. Winter | Applications to classification |
Organized by C. Cave, D. Enders.