Actions on products of CAT(-1) spaces

Teresa García; Joan Porti

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arXiv · 1809.08189

Actions on products of CAT(-1) spaces

Teresa García·Joan Porti

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Abstract

We show that for $X$ a proper $\mathrm{CAT}(-1)$ space there is a maximal open subset of the horofunction compactification of $X\times X$ 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 $\mathrm{CAT}(-1)$ spaces.

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Teresa García, Joan Porti. 2018-09-21. Actions on products of CAT(-1) spaces. https://arxiv.org/abs/1809.08189

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