On C*-algebras from locally conjugate equivalence relations on expansive systems-东北师范大学数学与统计学院

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On C*-algebras from locally conjugate equivalence relations on expansive systems

时间：2020年11月06日 14:29 点击数：

报告人：侯成军

报告地点：腾讯会议

报告时间：2020年11月08日星期日10:30-11:30

邀请人：段永江

报告摘要：

In this talk, we introduce notions of asymptotic continuous orbit equivalence and (strongly) asymptotic conjugacy for expansive systems, and characterize them in terms of the transformation groupoids, the principal groupoids coming from the local conjugacy relations and the semi-direct product groupoids of the principal groupoids by the canonical group actions, together with their associated reduced groupoid $C^*$-algebras. In particular, we show that two asymptotically essentially free expansive systems are asymptotically continuous orbit equivalent if and only if the associated semi-direct product groupoids are topologically isomorphic if and only if there exists a $C^*$-algebra isomorphism preserving the canonical Cartan subalgebras between the corresponding reduced $C^*$-algebras of these semi-direct product groupoids.

会议网址：https://meeting.tencent.com/s/UKszOE7GSXRE

会议ID：534 528 754

会议密码：123456

主讲人简介：

侯成军，扬州大学教授，博士生导师，2001年获复旦大学博士学位；2004年中科院数学与系统科学研究院博士后出站。一直从事算子代数，尤其是动力系统上的C*-代数理论的学习和研究；已在“Math. Ann.”、“Proc.Amer. Math. Soc.”、“Studia Mathematica”、 “ Exposition. Math”，“Science China Math. ”等学术期刊发表论文20余篇，主持国家自然科学基金和省部级项目多项。