Property A and affine buildings
Campbell, S.J. (2009) Property A and affine buildings. Journal of Functional Analysis, 256, (2), 409-431. (doi:10.1016/j.jfa.2008.10.014)
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Official URL: http://dx.doi.org/10.1016/j.jfa.2008.10.014
Description/Abstract
Yu's Property A is a non-equivariant generalisation of amenability introduced in his study of the coarse Baum Connes conjecture. In this paper we show that all affine buildings of type A2, B2 and G2 have Property A. Together with results of Guentner, Higson and Weinberger, this completes a programme to show that all affine building have Property A. In passing we use our technique to obtain a new proof for groups acting on buildings.
The author was supported by EPSRC postdoctoral fellowship EP/C53171X/1.
| Item Type: | Article |
|---|---|
| ISSN: | 0022-1236 (print) |
| Uncontrolled Keywords: | property a, affine buildings, exotic buildings, baum connes conjecture |
| Related URLs: | http://dx.doi.org/10.1016/j.jf...008.10.014 |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics |
| ePrint ID: | 69580 |
| Deposited On: | 20 Nov 2009 |
| Last Modified: | 01 Jun 2011 10:59 |
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