Divided difference operators in equivariant KK-theory
For more information about this meeting, contact Ping Xu.
Speaker: Ho Hon Leung, Cornell Univeristy
Abstract: Let G be a compact Lie group and T be its maximal torus. Let A,B be G-C^\ast- algebras. We define certain divided difference operators on the T-equivariant KK-group KK_T(A,B). The main result is that a T-equivariant KK-class is G- equivariant iff it is annihilated by an ideal generated by these divided difference operators. Its relations to the Weyl's character formula and symplectic geometry will also be given.
Room Reservation Information
Room Number: 106 McAllister
Time: 2:30pm - 3:30pm