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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

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e-Prints Soton

Downloaded from
http://dx.doi.org/10.1016/j.jfa.2008.10.018

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