Cartan subalgebras in C*-algebras of virtually abelian groups.

12.01.2026, 14:00  –  2.14.0.21
Forschungsseminar: Gruppen und Operatoralgebren

Jakub Curda (University of Oxford)

This talk is motivated by C*-superrigidity - the question of whether a group can be recovered from its group C*-algebra. Since every torsion free abelian group is isomorphic to the group of path components of the unitary group of its C*-algebra, it follows that every such group is C*-superrigid. In order to apply the same idea to the class of torsion free virtually abelian groups, one needs to understand the Cartan subalgebras of the group C*-algebra. I will explain how Cartan subalgebras appear, and provide examples of groups where we can completely understand them.