The p-nuclearity for reduced group Lp-operator algebras

Zhen Wang 汪镇  (Hangzhou Normal University)

14:00-16:00, April 24, 2025   Mathematics Building 102, Minhang Campus

Abstract:

Let G be a discrete group. It is well known that the following is equivalent: (1) G is amenable; (2) the reduced group C*-algebra is nuclear; (3) the group von-Neumann algebra L(G) is semidiscrete. Let p>1. G. An, J.-J. Lee and Z.-J. Ruan introduced the p-nuclearity for Lp-operator algebras. They show that the reduced group Lp-operator algebra is p-nuclear and the p-pseudomeasure algebra is p-semidiscrete if G is amenable. In this talk, we will show that the following are equivalent: (1) G is amenable; (2) the reduced group Lp-operator algebra is p-nuclear; (3) the p-pseudomeasure algebra is p-semidiscrete. This answers an open problem raised by N. C. Phillips.

About the speaker:

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年至2024年在吉林大学数学学院从事博士后研究。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.（两篇）、Math. Z.等杂志。

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