Speaker: **Rui Okayasu** (Osaka Kyoiku University)

Title: Injective factors with trivial bicentralizer

Time/Date: 4:45-6:15pm, June 29 (Tue.), 2021

Room: Online

Abstract:
In this talk, I will introduce an alternative proof that an injective factor on a separable Hilbert space with trivial bicentralizer is ITPFI. The proof is given in parallel with each type of factors and it is based on the strategy of Haagerup. As a consequence, the uniqueness theorem of injective factors except type III_{0} follows from Araki-Woods' result. I will talk about some key points in the proof.

The results I will present in this talk are on arXiv:2106.05464.