Property A and affine buildings
type: Item
instance of: scholarly article
title: Property A and affine buildings
zbMATH Open document ID: 1184.51008
author: S. J. Campbell
published in: Journal of Functional Analysis
publication date: 2009-03-03T00:00:00Z
full work available at URL: CampbellPropABuildings4.pdf
review text: Property A is a coarse property of metric spaces that generalizes amenability [see \textit{G. Yu}, Invent. Math. 139, No. 1, 201--240 (2000; Zbl 0956.19004)]. The author shows that affine buildings of type \(\widetilde{A_2}\), \(\widetilde{B_2}\) and \(\widetilde{G_2}\) have Property A. Together with results of \textit{E. Guentner, N. Higson} and \textit{S. Weinberger} [Publ. Math., Inst. Hautes Étud. Sci. 101, 243--268 (2005; Zbl 1073.19003)] this shows that all affine buildings have Property A. The author also gives a new (and shorter) geometric proof for groups acting on buildings of type \(\widetilde{A_n}\).
reviewed by: Theo Grundhöfer
Mathematics Subject Classification ID: 51E24
Mathematics Subject Classification ID: 20F65
zbMATH DE Number: 5522895
zbMATH Keywords: affine building
zbMATH Keywords: Property A
MaRDI profile type: Publication
OpenAlex ID: W2045988163
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DOI: 10.1016/J.JFA.2008.10.014
description: scientific article; zbMATH DE number 5522895