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Property A and affine buildings

Property A and affine buildings
Property A and affine buildings
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.
property a, affine buildings, exotic buildings, baum connes conjecture
0022-1236
409-431
Campbell, S.J.
e6d6f15a-72d1-4397-9ff4-c89fae2cd440
Campbell, S.J.
e6d6f15a-72d1-4397-9ff4-c89fae2cd440

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).

Record type: Article

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.

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More information

Submitted date: 18 April 2008
Published date: 15 January 2009
Keywords: property a, affine buildings, exotic buildings, baum connes conjecture

Identifiers

Local EPrints ID: 69580
URI: https://eprints.soton.ac.uk/id/eprint/69580
ISSN: 0022-1236
PURE UUID: a08c5381-9c1d-48e2-99f8-2e3a5b28ba3c

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Date deposited: 20 Nov 2009
Last modified: 19 Jul 2017 00:07

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