On the strong \(K\)-amenability of a groupoid
type: Item
instance of: scholarly article
title: On the strong \(K\)-amenability of a groupoid
zbMATH Open document ID: 1020.19003
author: Mohamed Maghfoul
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 2003-07-06T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/73563
review text: Equivariant \(KK\)-theory was generalized to the case of groupoid actions by \textit{P.-Y. Le Gall} [K-Theory 16, 361-390 (1999; Zbl 0932.19004)]. The author [\textit{M. Maghfoul}, K-Theory 16, 245-276 (1999; Zbl 0919.19005)] has introduced a notion of strong \(K\)-amenability for groups. In the present paper he extends this notion to groupoids. The main result is the six-term exact sequence for \(KK_G\) when \(G\) is a strongly \(K\)-amenable groupoid.
Mathematics Subject Classification ID: 19K35
Mathematics Subject Classification ID: 46L80
Mathematics Subject Classification ID: 46M20
zbMATH DE Number: 1911463
zbMATH Keywords: \(K\)-amenability
zbMATH Keywords: amenable groupoid
zbMATH Keywords: six-term exact sequence
zbMATH Keywords: \(KK\)-theory
zbMATH Keywords: groupoid actions
reviewed by: Vladimir M. Manuilov
MaRDI profile type: Publication
OpenAlex ID: W2327019617
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DOI: 10.5802/AFST.1008
description: scientific article; zbMATH DE number 1911463