Department of General Education and Language
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Browsing Department of General Education and Language by Author "Leung, Ho Hon"
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Item Divided difference operators in equivariant KK-theory(World Scientific Publishing Co. Pte. Ltd., 2014) Leung, Ho HonLet 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.Item Equivariant structure constants for hamiltonian-T -spaces(TUBITAK, 2014) Leung, Ho HonIf there exists a set of canonical classes on a compact Hamiltonian-T -space in the sense of R Goldin and S Tolman, we derive some formulas for certain equivariant structure constants in terms of other equivariant structure constants and the values of canonical classes restricted to some fixed points. These formulas can be regarded as a generalization of Tymoczko's results. © TÜBİTAK.