Algebraic & Geometric Topology 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

DOI: 10.2140/agt.2015.15.429

Abstract

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

Keywords

CAT(0)

Mathematical Subject Classification 2010

Primary: 53C23

Secondary: 20F67, 51F99

References

Publication

Received: 13 March 2014

Revised: 17 July 2014

Accepted: 19 August 2014

Published: 23 March 2015

Authors

Khek Lun Harold Chao
Mathematical Sciences Center Tsinghua University Beijing 100084 China

Eric Swenson
Mathematics Department Brigham Young University Provo, UT 84602 USA