A note on injective factors with trivial bicentralizer
Operator Algebras
2023-10-31 v2 Functional Analysis
Abstract
We give an alternative proof that an injective factor on a Hilbert space with trivial bicentralizer is ITPFI. Our 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 follows from Araki-Woods' result.
Cite
@article{arxiv.2106.05464,
title = {A note on injective factors with trivial bicentralizer},
author = {Rui Okayasu},
journal= {arXiv preprint arXiv:2106.05464},
year = {2023}
}
Comments
The paper will appear in the Publications of Research Institute for Mathematical Sciences, Kyoto University