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.

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

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.