报告时间：2023年11月10日16:00-16:50

报告地点：天赐庄校区维格堂319

报告人：吴健超研究员（上海数学中心）

报告题目：Long thin covers and nuclear dimension of C*-algebras  

报告摘要：

A recurring theme in the study of C*-algebras is their strong ties to topological dynamical systems, paralleling the fruitful interplay between von Neumann algebra theory and ergodic theory. The breakthroughs in the Elliott classification program of C*-algebras in the last decade have led to a prominent question around this theme, namely: when does the C*-algebra arising from a topological dynamical system satisfy finite nuclear dimension?

In a recent preprint (joint with Hirshberg), we verify finite nuclear dimension for any (crossed product) C*-algebra arising from an action by a finitely generated virtually nilpotent group on a finite-dimensional space. This is shown by introducing a new topological-dynamical dimension concept called the long thin covering dimension. This result can be strengthened further and applied to some allosteric (and thus non-almost-finite) actions by certain wreath product groups. Another application yields the result (joint with Eckhardt) that (twisted) group C*-algebras of virtually polycyclic groups have finite nuclear dimension.

报告人简介：

吴健超，复旦大学上海数学中心青年研究员，博士毕业于美国范德堡大学，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Geom. Funct. Anal.、Adv. Math.、Comm. Math. Phys.、Trans. Amer. Math. Soc.等知名数学期刊发表多篇论文。

邀请人：梁兵兵 教授