Certain concrete $C^*$-dynamical systems
演讲者
时间
2023年12月20日 10:30 至 12:00
地点
A3-3-301
线上
Zoom 293 812 9202
(BIMSA)
摘要
In the context of Elliott’s classification program for $C^*$-algebras, this line of research focuses on concrete $C^*$-dynamical systems arising from $SL_2(\mathbb{Z})$-actions on rotation algebras. By computing the Elliott’s invariants explicitly, it is determined that the isomorphism classes of crossed products of irrational rotation algebras by the integers are completely characterized by the angles of the algebras and the generating matrices, up to some canonical equivalence relations. An analogous partial result for general case is also presented.
演讲者介绍
贺卓丰2018年毕业于东京大学,后成为该校副研究员。2022年华东师范大学博士后出站,2023年加入北京雁栖湖应用数学研究院任助理研究员。现在的研究兴趣包括C*代数的分类理论、C*动力系统和拓扑动力系统。