Analysis for idempotent states on quantum permutation groups

Authors

J.P. McCarthy, Department of Mathematics, Munster Technological University, Cork, IrelandFollow

ORCID

https://orcid.org/0000-0002-1361-5587

Abstract

Woronowicz proved the existence of the Haar state for compact quantum groups under a separability assumption later removed by Van Daele in a new existence proof. A minor adaptation of Van Daele’s proof yields an idempotent state in any non-empty weak-* compact convolution-closed convex subset of the state space. Such subsets, and their associated idempotent states, are studied in the case of quantum permutation groups.

Disciplines

Mathematics

DOI

10.1007/s11040-025-09511-5

Publication Details

Mathematical Physics, Analysis and Geometry

Publisher

Springer Nature

License Condition

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

McCarthy, J.P. Analysis for idempotent states on quantum permutation groups. Math Phys Anal Geom 28, 14 (2025). https://doi.org/10.1007/s11040-025-09511-5