Divided difference operators in equivariant KK-theory

Date
2014
Authors
Leung, Ho Hon
Journal Title
Journal ISSN
Volume Title
Publisher
World Scientific Publishing Co. Pte. Ltd.
Abstract
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.
Description
This 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.
Keywords
Divided difference operators, Equivariant KK-theory
Citation
Leung, H.-H. (2014). Divided difference operators in equivariant KK-theory. Journal of Topology and Analysis, 6(2), 237–261. https://doi.org/10.1142/S1793525314500071