Coarse medians and Property A

Špakula, Ján¹ ; Wright, Nick¹

¹Department of Mathematical Sciences, University of Southampton, Southampton, SO17 1BJ, United Kingdom

Algebraic and Geometric Topology, Tome 17 (2017) no. 4, pp. 2481-2498

Résumé

We prove that uniformly locally finite quasigeodesic coarse median spaces of finite rank and at most exponential growth have Property A. This offers an alternative proof of the fact that mapping class groups have Property A.

Détail

DOI : 10.2140/agt.2017.17.2481

Classification : 20F65, 30L05
Keywords: coarse median, $CAT(0)$ cube complexes, Yu's Property A

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