Property A and CAT(0) cube complexes
Brodzki, J., Campbell, S.J., Guentner, E., Niblo, G.A. and Wright, N.J. (2009) Property A and CAT(0) cube complexes. Journal of Functional Analysis, 256, (5), 1408-1431. (doi:10.1016/j.jfa.2008.10.018)
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Official URL: http://dx.doi.org/10.1016/j.jfa.2008.10.018
Description/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.
| Item Type: | Article |
|---|---|
| ISSN: | 0022-1236 (print) |
| Uncontrolled Keywords: | geometric group theory, analysis, amenability, Yu's property A, CAT(0) cube complex |
| Related URLs: | http://dx.doi.org/10.1016/j.jf...008.10.018 |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics |
| ePrint ID: | 69508 |
| Deposited On: | 10 Nov 2009 |
| Last Modified: | 01 Jun 2011 06:21 |
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