Gorde:
| Egile nagusia: | |
|---|---|
| Formatua: | Preprint |
| Argitaratua: |
2008
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| Gaiak: | |
| Sarrera elektronikoa: | https://arxiv.org/abs/0809.3827 |
| Etiketak: |
Etiketa erantsi
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Aurkibidea:
- We show that for any free Araki-Woods factor $\mathcal{M} = Γ(H_\R, U_t)"$ of type ${\rm III_1}$, the bicentralizer of the free quasi-free state $φ_U$ is trivial. Using Haagerup's Theorem, it follows that there always exists a faithful normal state $ψ$ on $\mathcal{M}$ such that $(\mathcal{M}^ψ)' \cap \mathcal{M} = \C$.