Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591873 | Journal of Functional Analysis | 2009 | 24 Pages |
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.
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