Furstenberg Maps For CAT(0) Targets Of Finite Telescopic Dimension

Uri Bader; Bruno Duchesne; Jean Lécureux

doi:10.1017/etds.2014.147

Furstenberg Maps For CAT(0) Targets Of Finite Telescopic Dimension

Group Theory 2019-02-20 v1 Dynamical Systems Metric Geometry

Authors: Uri Bader , Bruno Duchesne , Jean Lécureux

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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 $\partial X$ .

Keywords

locally compact groups CAT(0) spaces finite telescopic dimension G-boundary equivariant maps visual boundary amenability ergodicity

Cite

@article{arxiv.1404.3187,
  title  = {Furstenberg Maps For CAT(0) Targets Of Finite Telescopic Dimension},
  author = {Uri Bader and Bruno Duchesne and Jean Lécureux},
  journal= {arXiv preprint arXiv:1404.3187},
  year   = {2019}
}

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16 pages, 1 figure

Furstenberg Maps For CAT(0) Targets Of Finite Telescopic Dimension

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