Hecke algebras and the Schlichting completion for discrete quantum groups

Abstract: In recent joint work with Skalski and Voigt we construct and study the Hecke algebra and Hecke operators associated with an almost normal subgroup in a discrete quantum group. We also give in this framework a quantum version of the Schlichting completion, which yields an algebraic quantum group with a compact-open subgroup. We describe a class of examples arising from HNN extensions.

operator algebrasquantum algebra

Audience: researchers in the topic

Quantum Groups Seminar [QGS]

Series comments: This online 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.

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