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Long thin covers and finite nuclear dimension for crossed product C*-algebras

主 讲 人 :吴健超    

活动时间:02月18日10时30分    

地      点 :理科群1号楼D203

讲座内容:

Finite nuclear dimension is a regularity property of C*-algebras that have played a pivotalrole 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 associated to topological and C*-dynamical systems. Previous results have mainly focused on the case of free actions. In a recent preprint (joint with Hirshberg), we show that any topological action by a finitely generate dvirtually nilpotent group on a finite-dimensional space gives rise to a crossed product with finite nuclear dimension. 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.

主讲人介绍:

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. Ergodic Theory Dynam. Systems, Ann. K-Theory, J. Operator Theory等重要数学期刊发表多篇论文。

发布时间:2024-02-17 13:44:14

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版权所有nba篮球滚球盘买球,搜狗指南

冀ICP备18011017号-3

冀公网安备 13010802000630号

地址:河北省石家庄市南二环东路20号

邮编:050024