On free actions of discrete quantum groups
Operator Algebras
2026-03-18 v1 Quantum Algebra
Abstract
R. Ellis showed in 1960 that every discrete group acts freely on its Stone-Cech compactification. We extend this result to discrete quantum groups with low duals. The method of proof is different from the earlier proofs in the classical case, using the definition of freeness given by D. A. Ellwood in the setting of noncommutative geometry.
Keywords
Cite
@article{arxiv.2603.16704,
title = {On free actions of discrete quantum groups},
author = {Pekka Salmi},
journal= {arXiv preprint arXiv:2603.16704},
year = {2026}
}