Irreducible subfactors of L(double-struck F sign∞) of index λ > 4

Dimitri Shlyakhtenko; Yoshimichi Ueda

Irreducible subfactors of L(double-struck F sign_∞) of index λ > 4

Dimitri Shlyakhtenko, Yoshimichi Ueda

数理科学部門

研究成果: Contribution to journal › Article

3 被引用数 (Scopus)

抄録

By utilizing an irreducible inclusion of type III_q2 factors coming from a free-product type action of the quantum group SU_q(2), we show that the free group factor L(double-struck F sign_∞) possesses irreducible subfactors of arbitrary index > 4. Combined with earlier results of Radulescu, this shows that L (double-struck F sign_∞) has irreducible subfactors with any index value in {4cos²(π/n): n ≧ 3} ∪ [4, + ∞).

本文言語	英語
ページ（範囲）	149-166
ページ数	18
ジャーナル	Journal fur die Reine und Angewandte Mathematik
号	548
出版ステータス	出版済み - 12 1 2002

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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引用スタイル

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