The Temperley-Lieb-Jones C*-tensor categories at discrete parameters are realized as braided C*-tensor categories of Hilbert C*-modules with finite orthonormal bases.
A categorical and diagrammatical approach to Temperley-Lieb algebras
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abstract
Algebraic basics on Temperley-Lieb algebras are proved in an elementary and straightforward way with the help of tensor categories behind them.
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Realizing the braided Temperley-Lieb-Jones C*-tensor categories as Hilbert C*-modules
The Temperley-Lieb-Jones C*-tensor categories at discrete parameters are realized as braided C*-tensor categories of Hilbert C*-modules with finite orthonormal bases.