Leung, Ho Hon2020-02-132020-02-1320142014Leung, H.-H. (2014). Divided difference operators in equivariant KK-theory. Journal of Topology and Analysis, 6(2), 237–261. https://doi.org/10.1142/S179352531450007117935253http://dx.doi.org/10.1142/S1793525314500071http://hdl.handle.net/20.500.12519/141This article is not available at CUD collection. The version of scholarly record of this Article is published in Journal of Topology and Analysis (2014), available online at: https://doi.org/10.1142/S1793525314500071.Let G be a compact connected Lie group with a maximal torus T. Let A, B be G-C*-algebras. We define certain divided difference operators on Kasparov's T-equivariant KK-group KKT(A, B) and show that KK G(A, B) is a direct summand of KKT(A, B). More precisely, a T-equivariant KK-class is G-equivariant if and only if it is annihilated by an ideal of divided difference operators. This result is a generalization of work done by Atiyah, Harada, Landweber and Sjamaar. © 2014 World Scientific Publishing Company.enPermission to reuse abstract has been secured from World Scientific Publishing Co. Pte. Ltd..Divided difference operatorsEquivariant KK-theoryArticleCopyright : 2014 World Scientific Publishing Company