Essential Representation and K-theory of group C*-algebra

Yanli Song   (Washington University at St Louis)

14:00-15:00, Nov 20, 2018   Science Building A510


The Connes-Kasparov theorem computes the K-theory of group C*-algebras. We call a representation of G is essential if it contributes to the K-theory group. In this talk, I will discuss some properties of essential G-representations. In particular, its relationship with Dirac cohomology, Plancherel measure and its parametrization. This is a joint work with Clare,Higson,Tang and Vogan.

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