Simon Schmidt

Title: Quantum automorphisms of graph C^*-algebras

In this talk we present quantum automorphism groups of graphs. Those are quantum groups that generalize classical automorphism groups and there are actually two definitions of them. Our main result is that one of the definitions gives rise to the quantum symmetry group of the graph C^*-algebra. Therefore, one can think of the quantum symmetries of the graph C^*-algebra as the quantum automorphisms of the underlying graph.

Ricardo Schnur

Title: The Connes embedding property for free orthogonal quantum groups

In this talk we show that for $N \geq 4$ the von Neumann algebra associated to the free orthogonal quantum group $O_N^+$ possesses the Connes embedding property. That is to say, it can be embedded into an ultrapower of the hyperfinite type $\text{\normalfont{II}}_1$ factor by a free ultrafilter. The main tool for this will be the notion of a quantum group being topologically generated by two of its quantum subgroups as introduced by Brannan, Collins and Vergnioux.

Michael Hartz

to be announced

Sebastian Toth

to be announced