28 citations · 34 across the 14 of their papers we have counts for
7 papers · 1 filter
Amenable fusion algebraic actions of discrete quantum groups on compact quantum spaces
Xiao Chen, Debashish Goswami, Huichi Huang
In this paper, we introduce actions of fusion algebras on unital -algebras, and define amenability for fusion algebraic actions. Motivated by S.\ Neshveyev et al.'s work, cons…
Compact quantum stabilizer subgroups
Huichi Huang
We generalize the concept of stabilizer subgroups to compact quantum groups.
The quantum group fixing a sequence of finite subsets
Huichi Huang
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…
Mean ergodic theorem for amenable discrete quantum groups and a Wiener type theorem for compact metrizable groups
Huichi Huang
We prove a mean ergodic theorem for amenable discrete quantum groups. As an application, we prove a Wiener type theorem for continuous measures on compact metrizable groups.
Ergodic invariant states and irreducible representations of crossed product -algebras
Huichi Huang, Jianchao Wu
Motivated by reformulating Furstenberg's conjecture via representations of a crossed product -algebra, we show that in a discrete -dynamical system $(…
Invariant subsets under compact quantum group actions
Huichi Huang
We investigate compact quantum group actions on unital -algebras by analyzing invariant subsets and invariant states. In particular, we come up with the concept of compact qua…
Faithful compact quantum group actions on connected compact metrizable spaces
Huichi Huang
We construct faithful actions of quantum permutation groups on connected compact metrizable spaces. This disproves a conjecture of Goswami.