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Start Over Author "Wright N.J." Journal journal of functional analysis
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2. Property A and CAT(0) cube complexes

Author

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

Subjects
CAT(0) cube complexes, Amenability, Property A, Coarse geometry
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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