Divided difference operators in equivariant KK-theory

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dc.contributor.authorLeung, Ho Hon
dc.date.accessioned2020-02-13T09:17:17Z
dc.date.available2020-02-13T09:17:17Z
dc.date.copyright2014en_US
dc.date.issued2014
dc.descriptionThis 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.abstractLet 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.citationLeung, H.-H. (2014). Divided difference operators in equivariant KK-theory. Journal of Topology and Analysis, 6(2), 237–261. https://doi.org/10.1142/S1793525314500071en_US
dc.identifier.issn17935253
dc.identifier.urihttp://dx.doi.org/10.1142/S1793525314500071
dc.identifier.urihttp://hdl.handle.net/20.500.12519/141
dc.language.isoenen_US
dc.publisherWorld Scientific Publishing Co. Pte. Ltd.en_US
dc.relationAuthor 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.ispartofseriesJournal of Topology and Analysis;Vol. 6, no. 2
dc.rightsPermission to reuse abstract has been secured from World Scientific Publishing Co. Pte. Ltd..
dc.rights.holderCopyright : 2014 World Scientific Publishing Company
dc.subjectDivided difference operatorsen_US
dc.subjectEquivariant KK-theoryen_US
dc.titleDivided difference operators in equivariant KK-theoryen_US
dc.typeArticleen_US

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