On the strong \(K\)-amenability of a groupoid (Q1872807)
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scientific article; zbMATH DE number 1911463
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the strong \(K\)-amenability of a groupoid |
scientific article; zbMATH DE number 1911463 |
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On the strong \(K\)-amenability of a groupoid (English)
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6 July 2003
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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.
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\(K\)-amenability
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amenable groupoid
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six-term exact sequence
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\(KK\)-theory
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groupoid actions
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