Lecture Series: Quasidiagonality of nuclear C*-algebras
University of Copenhagen
Dates: 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.
|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
|Wed 11.11||10:15-11:15||Aud. 9||S. Eilers||
On the classification of
|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.