Baum-Connes conjecture and coarse geometry
type: Item
instance of: scholarly article
title: Baum-Connes conjecture and coarse geometry
zbMATH Open document ID: 0829.19005
DOI: 10.1007/BF00961665
published in: \(K\)-Theory
publication date: 1996-01-17T00:00:00Z
review text: This paper is an appendix to another one by the same author [\(K\)-Theory 9, No. 3, 199-221 (1995; see the preceding review)]. The following theorem is the main result of this paper: Let \(\Gamma\) be a discrete group with a length metric. If \(\Gamma\) is proper as a metric space with a length metric, then the Baum-Connes conjecture for \(\Gamma\) with coefficients in \(\ell_\infty (\Gamma, K)\) is equivalent to the coarse Baum-Connes conjecture for \(\Gamma\) as a metric space with the length metric.
Mathematics Subject Classification ID: 19K56
Mathematics Subject Classification ID: 46L80
Mathematics Subject Classification ID: 58J22
zbMATH DE Number: 790461
zbMATH Keywords: operator \(K\)-theory
zbMATH Keywords: coarse geometry
zbMATH Keywords: metric spaces
zbMATH Keywords: Baum-Connes conjecture
zbMATH Keywords: length metric
author: Guoliang Yu
reviewed by: V. M. Deundjak
Wikidata QID: Q122873033
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00961665
OpenAlex ID: W2084895357
description: scientific article; zbMATH DE number 790461