In this talk, I will present two different types of results. First, I will talk about K theory of Lp space convolution algebra on a discrete group, based on joint work with Professor Guoliang Yu. Second, I will talk about my joint work with Simeng Wang and Guixiang Hong on maximal inequalities for actions of groups with polynomial growth on non-commutative Lp spaces, extending the work of Quanhua Xu and Marius Junge.

海报