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]

Series comments: This seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.

The zoom link will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.