ANALYSIS SEMINAR
Title：Factoriality of q-Araki-Woods von Neumann algebras
Speaker: Manish Kumar（Institute of Mathematics of the Polish Academy of Sciences）
Time: Wednesday, September13, 2023, 14:30-16:00
Venue: Mingde Building B201-1
Zoom ID: 945 2536 6360, Password: 461559
Abstract: We discuss the factoriality, non-injectivity, and fullness question of q-Araki-Woods von Neumann algebras, constructed by Hiai. These algebras are non-tracial coun-terparts of q-Gaussian algebras, which combine the q-deformations of free group fac-tors due to Bozejko-Kummerer-Spiecher, and quasi-free deformations of Shlyakht-enko. We will discuss our approach using conjugate/dual variables in order to solve the mentioned problems. This is joint work with Adam Skalski and Mateusz Wasilewski.
More information about the Analysis Seminar can be found here.
