【上海数学中心】Non-free topological actions and finite nuclear dimension for crossed product C*-algebras

报告题目：Non-free topological actions and finite nuclear dimension for crossed product C*-algebras

报告人：吴健超 （上海数学中心）

报告时间：2023年3月22日14：00-15：00

报告地点：腾讯视频会议（线上）

会议ID：645-887-982

校内联系人：江永乐 副教授   联系电话：84708351-8033

报告摘要：Finite nuclear dimension is one of the important regularity properties of C*-algebras that have played a central role in the Elliott classification program of C*-algebras. It has been a key problem in the field to verify this property for crossed product C*-algebras. Previous results have mainly focused on the case of free actions. We show that any topological action by a virtually nilpotent group on a finite-dimensional space gives rise to a crossed product with finite nuclear dimension. Furthermore, virtually polycyclic groups have (twisted) group C*-algebras with finite nuclear dimension. In particular, our result can be applied to some allosteric (and thus non-almost-finite) actions by certain wreath product groups. The talk is based on joint works with Hirshberg and Eckhardt.

报告人简介：吴健超, 上海数学中心Tenure-Track 青年研究员。2013年在美国范德堡大学获博士学位, 入选国家级青年人才计划。研究领域为非交换几何和算子代数。在包括Geom. Funct. Anal., Adv. Math., Comm. Math. Phys., Trans. Amer. Math. Soc.等重要数学期刊发表多篇论文。