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Furstenberg Maps For CAT(0) Targets Of Finite Telescopic Dimension (1404.3187v1)
Published 11 Apr 2014 in math.GR, math.DS, and math.MG
Abstract: We consider actions of locally compact groups $G$ on certain CAT(0) spaces $X$ by isometries. The CAT(0) spaces we consider have finite dimension at large scale. In case $B$ is a $G$-boundary, that is a measurable $G$-space with amenability and ergodicity properties, we prove the existence of equivariant maps from $B$ to the visual boundary $\partial X$.