## Quantum groups from stationary matrix models

### Volume 148 / 2017

Colloquium Mathematicum 148 (2017), 247-267
MSC: Primary 60B15; Secondary 81R50.
DOI: 10.4064/cm6964-12-2016
Published online: 17 March 2017

#### Abstract

We study the compact quantum groups appearing via models $C(G)\subset M_K(C(X))$ which are “stationary”, in the sense that the Haar integration over $G$ is the functional $\mathrm {tr}\otimes \int _X$. Our results include a number of generalities, with a substantial list of examples, and a detailed discussion in the quantum permutation group case.