Orbital Integral and $K$-theory Classes

Hang Wang Íõº½

*(ECNU)*

10:00-11:00, April 3, 2018 Science Building A1510

__Abstract:__

Consider a semisimple Lie group having discrete series. We use maps from $K$-theory of reduced $C^\ast$-algebra to complex numbers, defined by orbital integrals, to recover information of representations of groups. An important tool is a fixed point formula for equivariant indices of some elliptic operators invariant under the group action. The formula relates geometry and representation in the context of $K$-theory. This is joint work with Peter Hochs.

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