The fine structure of nuclear C*-algebras (C02)

This is a project on the structure and classification theory of nuclear C*-algebras. We aim to complete Elliott’s programme to classify all separable simple nuclear C*-algebras by K-theoretic data. Along the way we hope to settle the regularity conjecture of Toms and Winter for arbitrary trace spaces, to solve the UCT problem for nuclear C*-algebras, and to answer the quasidiagonality question in complete generality.

DFG Programme Collaborative Research Centres

Subproject of SFB 878:  Groups, Geometry and Actions

Applicant Institution Universität Münster

Project Heads Professor Dr. Joachim Cuntz, until 6/2018; Professor Dr. Wilhelm Winter