C*-Algebras: Tensor Products, Approximation & Classification

Since Elliotts classification of approximately finite C*-algebras it is well known that there are strong ties between classification theory and approximation theory for C*-algebras. The full depth of this relation became clear only after the groundbreaking work of Eberhard Kirchberg on tensor products and approximation properties of C*-algebras with astounding applications to (on first sight unrelated) important problems: the Connes embedding problem and the classification of (purely infinite) C*-algebras. The meeting will focus on breathtaking recent advances in these topics due to several young rising stars.