Actions on products of CAT(-1)-spaces

Joan Porti Pique, Maria Teresa García Galvez

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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.
Original languageEnglish
Number of pages26
JournalGeometriae Dedicata
Publication statusAccepted in press - 2023


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