1. Property A and cube complexes
- Author
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Brodzki, J., Campbell, S.J., Guentner, E., Niblo, G.A., and Wright, N.J.
- Subjects
- *
CUBES , *METRIC spaces , *TREE graphs , *MATHEMATICAL complexes , *GROUP theory , *ANALYSIS of variance - Abstract
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 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 cube complex the stabilisers of vertices at infinity are amenable. [Copyright &y& Elsevier]
- Published
- 2009
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