Equivariant $KK$-theory of $r$-discrete groupoids and inverse semigroups

Bernhard Burgstaller

For an $r$-discrete Hausdorff groupoid $\mathcal{G}$ and an inverse semigroup $S$ of slices of $\mathcal{G}$ there is an isomorphism between $\mathcal{G}$-equivariant $KK$-theory and compat…