Markov trace on a tower of affine Temperley-Lieb algebras of type $\widetilde{A_n}$

Abstract

We define a tower of affine Temperley-Lieb algebras of type $\widetilde{A_n}$. We prove that there exists a unique Markov trace on this tower, this trace comes from the Markov-Ocneanu-Jones trace on the tower of Temperley-Lieb algebras of type $A_n$.

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