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CAT(0) groups with specified boundary

Kim Ruane
Algebraic & Geometric Topology 6 (2006) 633–649
DOI: 10.2140/agt.2006.6.633

arXiv: 0903.1779
Abstract

We specify exactly which groups can act geometrically on CAT(0) spaces whose visual boundary is homeomorphic to either a circle or a suspension of a Cantor set.

Keywords
CAT(0) group, visual boundary, Tits boundary
Mathematical Subject Classification 2000
Primary: 20F65
Secondary: 57M60
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Publication
Received: 13 May 2005
Accepted: 28 February 2006
Published: 4 May 2006
Authors
Kim Ruane
Department of Mathematics
Tufts University
Medford, MA 02155
USA