On the strong \(K\)-amenability of a groupoid
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.
scientific article; zbMATH DE number 1911463
scientific article