The quantum group fixing a sequence of finite subsets

Abstract

Motivated by generalizing Szemerédi'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.

arXiv commentThe 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