主持人：王航 教授
报告内容介绍：
I will explain how groupoid homology can be used to answer questions regarding classifiable C*-algebras and their K-theory. For simplicity, I will focus on the case of ample groupoids and consider in particular C*-algebras attached to topological dynamical systems. I will sketch the proof/refutation of two conjectures: (1) K-theory groups of Smale space C*-algebras have finite rank; (2) The range of K-theory on the class of classifiable real-rank-zero C*-algebras is exhausted by C*-algebras of Smale spaces. I will start with an overview lecture providing motivation and outlining the overall strategy.

主讲人介绍：
Valerio Proietti 是一位活跃的青年学者，研究兴趣涵盖 K 理论、群胚同调、动力系统、指标理论及量子群等。他在群胚的 Baum