Coarse medians and Property A

Špakula, Ján; Wright, Nick

doi:10.2140/agt.2017.17.2481

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Coarse medians and Property A

Ján Špakula and Nick Wright

Algebraic & Geometric Topology 17 (2017) 2481–2498

DOI: 10.2140/agt.2017.17.2481

Abstract

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.

Keywords

coarse median, $CAT(0)$ cube complexes, Yu's Property A

Mathematical Subject Classification 2010

Primary: 20F65

Secondary: 30L05

References

Publication

Received: 15 July 2016

Accepted: 8 February 2017

Published: 3 August 2017

Authors

Ján Špakula
Department of Mathematical Sciences University of Southampton Southampton SO17 1BJ United Kingdom

Nick Wright
Department of Mathematical Sciences University of Southampton Southampton SO17 1BJ United Kingdom

Volume 17, issue 4 (2017)