Divided difference operators in equivariant KK-theory

dc.contributor.author Leung, Ho Hon
dc.date.accessioned 2020-02-13T09:17:17Z
dc.date.available 2020-02-13T09:17:17Z
dc.date.copyright 2014 en_US
dc.date.issued 2014
dc.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. en_US
dc.description.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. en_US
dc.identifier.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 en_US
dc.identifier.issn 17935253
dc.identifier.uri http://dx.doi.org/10.1142/S1793525314500071
dc.identifier.uri http://hdl.handle.net/20.500.12519/141
dc.language.iso en en_US
dc.publisher World Scientific Publishing Co. Pte. Ltd. en_US
dc.relation Author Affiliation: Leung, H.-H., School of Liberal Arts and Sciences, Canadian University of Dubai, Behind Shangri-La Hotel, Sheikh Zayed Road, Dubai, United Arab Emirates
dc.relation.ispartofseries Journal of Topology and Analysis;Vol. 6, no. 2
dc.rights Permission to reuse abstract has been secured from World Scientific Publishing Co. Pte. Ltd..
dc.rights.holder Copyright : 2014 World Scientific Publishing Company
dc.subject Divided difference operators en_US
dc.subject Equivariant KK-theory en_US
dc.title Divided difference operators in equivariant KK-theory en_US
dc.type Article en_US
Files
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description: