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Remarks on Yu’s ‘property A’ for discrete metric spaces and groups

Jean-Louis Tu

2001Bulletin de la Société mathématique de FranceMathematics被引 123开放获取

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摘要

Guoliang Yu has introduced a property on discrete metric spaces and groups, which is a weak form of amenability and which has important applications to the Novikov conjecture and the coarse Baum-Connes conjecture. The aim of the present paper is to prove that property in particular examples, like spaces with subexponential growth, amalgamated free products of discrete groups having property A and HNN extensions of discrete groups having property A.

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Jean-Louis Tu. Remarks on Yu’s ‘property A’ for discrete metric spaces and groups[J]. Bulletin de la Société mathématique de France, 2001.

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DOI:https://doi.org/10.24033/bsmf.2388

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