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Tracial central states on compact quantum groups
- Publication Year :
- 2024
-
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.<br />Comment: 29 pages, v2 corrects a few minor points
- Subjects :
- Mathematics - Operator Algebras
Mathematics - Quantum Algebra
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2407.19314
- Document Type :
- Working Paper