A note on injective factors with trivial bicentralizer
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$_0$ follow...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.2106.05464 |