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arXiv · 2407.19314

Tracial central states on compact quantum groups

Amaury Freslon·Adam Skalski·Simeng Wang
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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.

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Amaury Freslon, Adam Skalski, Simeng Wang. 2024-07-27. Tracial central states on compact quantum groups. https://arxiv.org/abs/2407.19314

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