Right-angled Coxeter groups with totally disconnected Morse boundaries
Abstract
This paper introduces a new class of right-angled Coxeter groups with totally disconnected Morse boundaries. We construct this class recursively by examining how the Morse boundary of a right-angled Coxeter group changes if we glue a graph to its defining graph. More generally, we present a method to construct amalgamated free products of CAT(0) groups with totally disconnected Morse boundaries that act geometrically on CAT(0) spaces that have a treelike block decomposition.
Keywords
Cite
@article{arxiv.2105.04029,
title = {Right-angled Coxeter groups with totally disconnected Morse boundaries},
author = {Annette Karrer},
journal= {arXiv preprint arXiv:2105.04029},
year = {2021}
}
Comments
36 pages, 19 figures; an error in Section 4.3 was corrected (main result unchanged); a corresponding example with a figure was added; explanations and a reference to the example were added to the introduction; in particular, Definition 1.3 of the relative Morse boundary was improved; pictures were improved; typos corrected; a remark in section 6 was added