The quantum group fixing a sequence of finite subsets
Operator Algebras
2021-02-23 v4 Dynamical Systems
Number Theory
Abstract
Motivated by generalizing Szemer\'edi's theorem, we the elements in a discrete quantum group fixing a sequence of finite subsets and prove that the set of these elements is a quantum subgroup. Using this we obtain a version of mean ergodic theorem for discrete quantum groups.
Cite
@article{arxiv.1607.07276,
title = {The quantum group fixing a sequence of finite subsets},
author = {Huichi Huang},
journal= {arXiv preprint arXiv:1607.07276},
year = {2021}
}
Comments
The concept of subgroups fixing a sequence of finite subsets is extended to quantum groups. Comments welcome. arXiv admin note: text overlap with arXiv:1506.02453