Volume 15, issue 1 (2015)

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Tits rigidity of $\mathrm{CAT}(0)$ group boundaries

Khek Lun Harold Chao and Eric Swenson

Algebraic & Geometric Topology 15 (2015) 429–444
Abstract

We define Tits rigidity for visual boundaries of $CAT\left(0\right)$ groups, and prove that the join of two Cantor sets and its suspension are Tits rigid.

CAT(0)
Mathematical Subject Classification 2010
Primary: 53C23
Secondary: 20F67, 51F99