Remarks on Yu's `property {A}' for discrete metric spaces and groups. (Q2773541)
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scientific article; zbMATH DE number 1710179
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on Yu's `property {A}' for discrete metric spaces and groups. |
scientific article; zbMATH DE number 1710179 |
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24 February 2002
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discrete metric spaces
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Novikov conjecture
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coarse Baum-Connes conjecture
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Remarks on Yu's `property {A}' for discrete metric spaces and groups. (English)
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The article is devoted to the weak amenability property, that is also called Yu's ``property A''. Its relations with the Novikov and Baum-Connes conjectures are discussed. Necessary definitions are given in the paper. The main results are:NEWLINENEWLINE Theorem 6.1. Let \(X\) be a discrete metric space with subexponential growth. Then \(X\) has property A.NEWLINENEWLINETheorem 9.1. Let \(G\) be a discrete group acting on a tree, with finite quotients. Then \(G\) has property A if and only if the stabilizer of each vertex group has property A.
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