Abstract
We show that for X a proper CAT(−1) space there is a
maximal open subset of the horofunction compactification of X × X,
with respect to the maximum metric, that compactifies the diagonal
action of an infinite quasi-convex group of the isometries of X. We
also consider the product action of two quasi-convex representations
of an infinite hyperbolic group on the product of two different proper
CAT(−1) spaces.
maximal open subset of the horofunction compactification of X × X,
with respect to the maximum metric, that compactifies the diagonal
action of an infinite quasi-convex group of the isometries of X. We
also consider the product action of two quasi-convex representations
of an infinite hyperbolic group on the product of two different proper
CAT(−1) spaces.
| Original language | English |
|---|---|
| Number of pages | 26 |
| Journal | Geometriae Dedicata |
| Publication status | Accepted in press - 2023 |