Report title: Topological compliance and metric compliance of groupoids

Reporter: Qiao Yu Associate Professor Shaanxi Normal University

Reporting time: 15:30-16:30, December 4, 2020

Report location: Tencent Conference ID: 253 251 669 Password: 123456

School contact: Zhang Yuanhang zhangyuanhang@jlu.edu.cn

Report summary:

The compliance group is a very important type of group, which is closely related to many branches of mathematics (such as operator algebra, geometric group theory, rough geometry, dynamic systems, etc.). People have portrayed the compliance of groups from different angles, and obtained Many equivalent conditions. Groupoids can be regarded as generalizations of groups. When we extend certain equivalent conditions for obedience groups to the case of groupoids, these conditions are no longer equivalent. This report first discusses the grouping Several equivalent conditions of compliance; then give the definition of group C*-algebra and reduced group C*-algebra; then give the definition of group embryo and groupoid C*-algebra and reduced groupoid C*- The definition of algebra; finally we discuss the topological amenability and metrical amenability of etale groupoids and the relationship between them.

Brief introduction of the speaker:

Qiao Yu is an associate professor in the School of Mathematical Sciences of Shaanxi Normal University. His research interests are operator algebra and non-commutative geometry. He graduated from the University of Science and Technology of China with a bachelor's degree in July 2003, and graduated from The Pennsylvania State University in August 2011. Pennsylvania State University), received a doctorate in basic mathematics. Now presides over one general project of the National Natural Science Foundation of China, and has published more than ten papers in important journals such as Integral Equations Operator Theory and Forum Math.