On the amenability and nuclearity for reduced group Lp-operator algebras.

报告人：汪镇（杭州师范大学）

时    间：2024年11月21日下午1：00-5:00

地    点：海纳2幢102室

摘    要:  Let p>1 and G be a discrete group. The reduced group Lp-operator algebra is generated by the left regular representation of G on lp(G). When p=2, this algebra is the reduced group C*-algebra. It is well known that the amenability of the group G is equivalent to the nuclearity of the reduced group C*-algebra. G. An, J.-J. Lee and Z.-J. Ruan introduced the p-nuclearity for Lp-operator algebras and they show that the p-nuclearity for the reduced group Lp-operator algebra of G follows from the amenability of G. The converse is unknown and it is an open problem raised by N. C. Phillips. In this talk, we will review the classical results for the amenability and nuclearity for the C*-algebras. Then we give some new developments to the converse of G. An, J.-J. Lee and Z.-J. Ruan’s result.

报告人简介：汪镇，杭州师范大学副教授。2018年博士毕业于华东师范大学数学科学学院，2022年3月-2024年3月在吉林大学做博士后。主持国家自然科学基金青年项目、中国博士后基金面上项目。主要从事Lp-算子代数的研究，相关成果发表于Israel J. Math.、Math. Z.等杂志。

欢迎各位老师和同学参加！

联系人：刘伟华（lwh.math@zju.edu.cn）