C*-algebras associated to Temperley-Lieb polynomials

Abstract: We define Temperley-Lieb polynomials and consider the (standard) subproduct systems they generate. This subproduct system turns out to be equivariant with respect to a compact quantum group G monoidally equivalent to $U_q(2)$. Exploiting this we are able to describe the C*-algebras associated to the subproduct system, which turn out to be closesly related to the linking algebra $B(U_q(2),G)$. This is joint work with Sergey Neshveyev.

category theoryoperator algebrasquantum algebra

Audience: researchers in the topic

Quantum Groups Seminar [QGS]

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