Maximal amenability of the radial subalgebra in free quantum groups factors

Abstract: The free orthogonal quantum groups $O^+(N)$, introduced by Shuzhou Wang, are monoidally equivalent to the $SU_q(2)$ compact quantum groups, but on an analytical level they behave much like the quantum duals of the classical free groups, when $N > 2$. I will review their definition and main properties, and present a new result about the maximal amenability of the associated radial MASA, obtained in recent joint work with Xumin Wang.

category theoryoperator 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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