Cohomology groups invariant under continuous orbit equivalence
Dynamical Systems
2021-08-11 v2 Group Theory
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.
Cite
@article{arxiv.1807.00283,
title = {Cohomology groups invariant under continuous orbit equivalence},
author = {Yongle Jiang},
journal= {arXiv preprint arXiv:1807.00283},
year = {2021}
}
Comments
final version, accepted to Journal of Topology and Analysis