AG Lie-Gruppen: Shirly Geffen (KU Leuven)

Dynamical comparison of amenable actions by non-amenable groups

Vortragende: Shirly Geffen, LU Leuven
Veranstalter: Kang Li

Abstract:
We pull back paradoxical dynamical systems (e.g. hyperbolic groups acting on
their Gromov boundary), to paradoxical decompositions of the acting group
itself. This allows us to show that whenever such groups admit a minimal
amenable topologically free action on a compact Hausdorff space, the system has
dynamical comparison and the attached crossed product is a purely infinite
classifiable C*-algebra.