Divided difference operators in equivariant KK-theory

Ho Hon Leung

doi:10.1142/S1793525314500071

Divided difference operators in equivariant KK-theory

Research output: Contribution to journal › Article › peer-review

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 KK_T(A, B) and show that KK _G(A, B) is a direct summand of KK_T(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.

Original language	English
Pages (from-to)	237-261
Number of pages	25
Journal	Journal of Topology and Analysis
Volume	6
Issue number	2
DOIs	https://doi.org/10.1142/S1793525314500071
Publication status	Published - Jun 2014
Externally published	Yes

Keywords

Equivariant KK-theory
divided difference operators

ASJC Scopus subject areas

Analysis
Geometry and Topology

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10.1142/S1793525314500071

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AB - 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.

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Divided difference operators in equivariant KK-theory

Abstract

Keywords

ASJC Scopus subject areas

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