Tracial central states on compact quantum groups
Operator Algebras
2025-04-03 v3 Quantum Algebra
Abstract
Motivated by classical investigation of conjugation invariant positive-definite functions on discrete groups, we study tracial central states on universal C*-algebras associated with compact quantum groups, where centrality is understood in the sense of invariance under the adjoint action. We fully classify such states on q-deformations of compact Lie groups, on free orthogonal quantum groups, quantum permutation groups and on quantum hyperoctahedral groups.
Keywords
Cite
@article{arxiv.2407.19314,
title = {Tracial central states on compact quantum groups},
author = {Amaury Freslon and Adam Skalski and Simeng Wang},
journal= {arXiv preprint arXiv:2407.19314},
year = {2025}
}
Comments
30 pages, v3 clarifies and expands some arguments and adds several remarks based on the suggestions of the referee. The final version of the paper will appear in Journal of Functional Analysis