Operator Algebras Seminar: Some uniqueness theorems and their consequences in properly infinite factors

Speaker: Ping Wong Ng (University of Louisiana at Lafayette)

Time: 2025-12-19 14:30-15:30
Location: 1410, SIMIS

Abstract:

We discuss some uniqueness theorems and related issues in the setting of von Neumann factors.  Among other things, this includes
i. the Li—Shen–Shi Weyl—von Neumann theorem for semifinite factors, ii. work by Hadwin—Ma–Shen and Giordano—Kaftal–Ng on double commutant and asymptotic double commutant theorems for certain properly infinite factors, and iii. work by Ng—Wang on proper asymptotic uniqueness for semifinite factors.

---

About Speaker:

Professor Ping Wong Ng is a faculty member at the University of Louisiana at Lafayette. His research focuses on extensions and classification theory of C*-algebras. He has published over seventy papers in journals including Advances in Mathematics, Mathematische Annalen, Communications in Mathematical Physics, Transactions of the American Mathematical Society, and the Journal of Functional Analysis.