A Khintchine inequality for central Fourier series on non-Kac compact quantum groups

Abstract: The study of Khintchine inequalities has a long history in abstract harmonic analysis. While there is almost no possibility of non-trivial Khintchine inequality for central Fourier series on compact connected semisimple Lie groups, it has turned out that a strong contrast holds within the framework of compact quantum groups. Specifically, a Khintchine inequality with operator coefficients is proved for arbitrary central Fourier series in a large class of non-Kac compact quantum groups. The main examples include the Drinfeld-Jimbo q-deformations, the free orthogonal quantum groups, and the quantum automorphism groups.

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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