Irreducible subfactors of $L(\mathbb F_\infty)$ of index $��>4$
書誌事項
- 公開日
- 2000-01-01
- DOI
-
- 10.48550/arxiv.math/0010202
- 公開者
- arXiv
説明
By utilizing an irreducible inclusion of type III$_{q^{2}} $ factors coming from a free-product type action of the quantum group $ SU_{q}(2) $, we show that the free group factor $ L(\mathbb {F}_{\infty}) $ possesses irreducible subfactors of arbitrary index $ >4 $. Combined with earlier results of Radulescu, this shows that $ L(\mathbb {F}_{\infty}) $ has irreducible subfactors with any index value in $ \{4\cos ^{2}(��/n):n\geq 3\}\cup [4,+\infty) $.
Final version (correcting typos and adding an appendix)
