Speaker: Zhen Wang (Hangzhou Normal University)
Host: Huaxin Lin
Abstract: Let G be a discrete group. Then 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 show that the following are equivalent:
(4)G is amenable;
(5)the reduced group Lp-operator algebra is p-nuclear;
(6)the p-pseudomeasure algebra is p-semidiscrete.
This answers an open problem raised by N. C. Phillips.
Time: Thursday, April 24, 16:00-17:00 pm
Location: Room 1510, SIMIS (updated)
About the speaker: Zhen Wang is an Associate Professor at Hangzhou Normal University. He received his Ph.D. in 2018 from the School of Mathematical Sciences, East China Normal University and conducted postdoctoral research at the School of Mathematics, Jilin University from 2022 to 2024. He has presided over research projects including the National Natural Science Foundation of China (NSFC) Youth Program and the China Postdoctoral Science Foundation General Program. His main research focuses on L^p-operator algebras, with related results published or accepted in journals such as Israel J. Math. (two papers), Math. Z., and others.
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