English

Structure invariant properties of the hierarchically hyperbolic boundary

Group Theory 2023-03-20 v2 Geometric Topology

Abstract

We prove several topological and dynamical properties of the boundary of a hierarchically hyperbolic group are independent of the specific hierarchically hyperbolic structure. This is accomplished by proving that the boundary is invariant under a "maximization" procedure introduced by the first two authors and Durham.

Keywords

Cite

@article{arxiv.2208.07930,
  title  = {Structure invariant properties of the hierarchically hyperbolic boundary},
  author = {Carolyn Abbott and Jason Behrstock and Jacob Russell},
  journal= {arXiv preprint arXiv:2208.07930},
  year   = {2023}
}

Comments

Minor revisions in response to referee's comments. Version accepted to the Journal of Topology and Analysis