G-Homotopy invariance of Analytic signature of proper G-manifolds'

Yoshiyasu Fukumoto 福本佳泰  (ECNU)

13:30-14:10, March 15, 2019   Science Building A510

Abstract:

In this talk we will discuss on the the Strong Novikov conjecture (SNC), the Novikov conjecture (NC), and its extension to the case of proper action of locally compact groups. More specifically, NC is deduced from SNC by the homotopy invariance of $G$-index of the signature operator in the $K$-theory of group $C_{}^{*}$-algebra. This homotopy invariance is proved using the Hilsum and Skandalis' deformation argument.

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