(Canceled!) Induction Principle and Index Theory

Hang Wang Íõº½

*(ECNU & University of Adelaide)*

10:00- 11:00, July 25, 2017 Science Building A1510

__Abstract:__

In the study of index theory involving proper actions, non-compactness of a group is usually more complicated to deal with. For example, if a noncompact group acts properly on the space, equivariant K-theory may not be represented only by finite dimensional equivariant vector bundles. However, for a large class of noncompact groups, namely, almost connected Lie groups, index theory problems can be studied by applying induction techniques to cases involving only compact group actions. In this talk, I will show how induction could lead to a series of well-related results for noncompact group actions, including equivalence of two notions of K-homology, K-theoretic Poincare duality, trace identity for the L^2-index formulas of invariant elliptic operators. This is joint work with Mathai Varghese and Hao Guo.

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