Monomials in the Jones projections
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- by V. S. Sunder PDF
- Proc. Amer. Math. Soc. 103 (1988), 761-764 Request permission
Abstract:
It is shown that every monomial ${e_I} = {e_{{i_1}}}{e_{{i_2}}} \cdots {e_{{i_n}}}$ in the Jones projections (with parameter $\tau$) satisfies ${e_I} = {\tau ^{n(I)/2}}{u_I}$ where ${u_I}$ is a partial isometry and $n(I)$ is an integer for which an explicit formula is given.References
- N. Bourbaki, Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV: Groupes de Coxeter et systèmes de Tits. Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: systèmes de racines, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1337, Hermann, Paris, 1968 (French). MR 0240238
- V. F. R. Jones, Index for subfactors, Invent. Math. 72 (1983), no. 1, 1–25. MR 696688, DOI 10.1007/BF01389127 A. Ocneanu, A Galois theory for operator algebras, preprint.
- Mihai Pimsner and Sorin Popa, Iterating the basic construction, Trans. Amer. Math. Soc. 310 (1988), no. 1, 127–133. MR 965748, DOI 10.1090/S0002-9947-1988-0965748-8
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 761-764
- MSC: Primary 46L35; Secondary 22D25, 57M25
- DOI: https://doi.org/10.1090/S0002-9939-1988-0947654-3
- MathSciNet review: 947654