Divided difference operators in equivariant KK-theory

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Date

2014

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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.

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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

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http://dx.doi.org/10.1142/S1793525314500071
 http://hdl.handle.net/20.500.12519/141

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Department of General Education and Language