Contracting isometries of CAT(0) cube complexes and acylindrical hyperbolicity of diagram groups
Contracting isometries of CAT(0) cube complexes and acylindrical hyperbolicity of diagram groups
The main technical result of this paper is to characterize the contracting isometries of a CAT(0) cube complex without any assumption on its local finiteness. Afterwards, we introduce the combinatorial boundary of a CAT(0) cube complex, and we show that contracting isometries are strongly related to isolated points at infinity, …