Volume 12, issue 1 (2012)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Expanders and property A

Ana Khukhro and Nick J Wright

Algebraic & Geometric Topology 12 (2012) 37–47
Abstract

We give a cohomological characterisation of expander graphs, and use it to give a direct proof that expander graphs do not have Yu’s property A.

Keywords
expanders, Yu's property A, generalised cohomology
Mathematical Subject Classification 2010
Primary: 20F65, 20F69, 51F99, 55N20
Secondary: 05C80, 43A07, 55B20, 68R10
References
Publication
Received: 22 August 2011
Revised: 3 October 2011
Accepted: 4 October 2011
Published: 18 January 2012
Authors
Ana Khukhro
School of Mathematics
University of Southampton
University Road
Southampton
SO17 1BJ
UK
Nick J Wright
School of Mathematics
University of Southampton
University Road
Southampton
SO17 1BJ
UK