Computing the Jones index of quadratic permutation endomorphisms of O_2

Roberto Conti; Wojciech Szymanski

arxiv: 0805.4655 · v2 · submitted 2008-05-30 · 🧮 math.OA · math.DS· math.FA

Computing the Jones index of quadratic permutation endomorphisms of O₂

Roberto Conti , Wojciech Szymanski This is my paper

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We compute the index of the inclusions of type $III_{1/2}$ factors arising from endomorphisms of the Cuntz algebra ${\mathcal O}_2$ associated to the rank-two permutation matrices.

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Computing the Jones index of quadratic permutation endomorphisms of O₂

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