Examples of Non-Rigid CAT(0) Groups from the Category of Knot Groups

Abstract

C Croke and B Kleiner have constructed an example of a CAT(0) group with more than one visual boundary. J Wilson has proven that this same group has uncountably many distinct boundaries. In this article we prove that the knot group of any connected sum of two non-trivial torus knots also has uncountably many distinct CAT(0) boundaries.

16 pages, 2 figures

Cited by in corpus (6)

• All CAT(0) Boundaries of a Group of the Form HxK are CE Equivalent
• Generalizing the Croke-Kleiner Construction
• On equivariant homeomorphisms of boundaries of CAT(0) groups
• Cell-Like Equivalences and Boundaries of CAT(0) Groups
• On equivariant homeomorphisms of boundaries of CAT(0) groups and Coxeter groups
• On the semi-direct product structure of CAT(0) groups