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arXiv · 2106.05464

A note on injective factors with trivial bicentralizer

Rui Okayasu
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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$_0$ follows from Araki-Woods' result.

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Rui Okayasu. 2021-06-10. A note on injective factors with trivial bicentralizer. https://arxiv.org/abs/2106.05464

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