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

Khek Chao; Eric Swenson

doi:10.2140/agt.2015.15.429

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Home > Journals > Algebr. Geom. Topol. > Volume 15 > Issue 1 > Article

2015 Tits rigidity of $\mathrm{CAT}(0)$ group boundaries

Khek Chao, Eric Swenson

Algebr. Geom. Topol. 15(1): 429-444 (2015). DOI: 10.2140/agt.2015.15.429

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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.

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Khek Chao. Eric Swenson. "Tits rigidity of $\mathrm{CAT}(0)$ group boundaries." Algebr. Geom. Topol. 15 (1) 429 - 444, 2015. https://doi.org/10.2140/agt.2015.15.429

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Received: 13 March 2014; Revised: 17 July 2014; Accepted: 19 August 2014; Published: 2015

First available in Project Euclid: 16 November 2017

zbMATH: 06425409

MathSciNet: MR3325743

Digital Object Identifier: 10.2140/agt.2015.15.429

Subjects:

Primary: 53C23

Secondary: 20F67 , 51F99

Keywords: CAT(0)

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Khek Chao, Eric Swenson "Tits rigidity of $\mathrm{CAT}(0)$ group boundaries," Algebraic & Geometric Topology, Algebr. Geom. Topol. 15(1), 429-444, (2015)

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