C*-Algebras

Abstract

The subject of operator algebras is a very active area of mathematics which, since its inception in the 1940s, has always been driven by interactions with other fields of mathematics and physics. The scope of these interactions is very wide, ranging over dynamical systems, (non-commutative) geometry, functional analysis, (geometric) group theory, topology, random matrices, harmonic analysis and quantum information theory.

The goals of this workshop were to stimulate new collaborations across these fields of mathematics, to disseminate recent progress by giving participants a global view on the subject and to specially focus on several important developments, including progress on Connes' rigidity conjecture for property (T) groups, a deeper understanding of the analogs of group boundaries in both C$^*$ and von Neumann algebra theory, C$^*$-simplicity and selflessness of groups, and progress in (equivariant) classification of C$^*$-algebras.