Geodesic
Expanders and property A
Khukhro, Ana1 ; Wright, Nick J1
1School of Mathematics, University of Southampton, University Road, Southampton, SO17 1BJ, UK
Algebraic and Geometric Topology, Tome 12 (2012) no. 1, pp. 37-47
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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.

DOI : 10.2140/agt.2012.12.37
Classification : 20F65, 20F69, 51F99, 55N20, 05C80, 43A07, 55B20, 68R10
Keywords: expanders, Yu's property A, generalised cohomology

Khukhro, Ana  1   ; Wright, Nick J  1

1 School of Mathematics, University of Southampton, University Road, Southampton, SO17 1BJ, UK 
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Khukhro, Ana; Wright, Nick J. Expanders and property A. Algebraic and Geometric Topology, Tome 12 (2012) no. 1, pp. 37-47. doi: 10.2140/agt.2012.12.37

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[3] A Lubotzky, Discrete groups, expanding graphs and invariant measures, 125, Birkhäuser Verlag (1994)

[4] G A Margulis, Explicit group-theoretic constructions of combinatorial schemes and their applications in the construction of expanders and concentrators, Problemy Peredachi Informatsii 24 (1988) 51

[5] J Roe, Lectures on coarse geometry, 31, Amer. Math. Soc. (2003)

[6] G Yu, The coarse Baum–Connes conjecture for spaces which admit a uniform embedding into Hilbert space, Invent. Math. 139 (2000) 201

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