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Property A and CAT(0) cube complexes

By J. Brodzki, S.J. Campbell, E. Guentner, G.A. Niblo and N.J. Wright

Abstract

Property A is a non-equivariant analogue of amenability defined for metric spaces. Euclidean spaces and trees are examples of spaces with Property A. Simultaneously generalising these facts, we show that finite-dimensional CAT(0) cube complexes have Property A. We do not assume that the complex is locally finite. We also prove that given a discrete group acting properly on a finite-dimensional CAT(0) cube complex the stabilisers of vertices at infinity are amenable

Topics: QA
Year: 2009
OAI identifier: oai:eprints.soton.ac.uk:69508
Provided by: e-Prints Soton

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