Cohomology groups invariant under continuous orbit equivalence
arXiv:1807.00283 · doi:10.1142/S1793525320500405
Abstract
By the work of Brodzki-Niblo-Nowak-Wright and Monod, topological amenability of a continuous group action can be characterized using uniformly finite homology groups or bounded cohomology groups associated to this action. We show that (certain variations of) these groups are invariants for topologically free actions under continuous orbit equivalence.
final version, accepted to Journal of Topology and Analysis