6 papers
Grothendieck rigidity and virtual retraction of higher-rank GBS groups
Daxun Wang
A rank generalized Baumslag-Solitar group ( group) is a group that splits as a finite graph of groups such that all vertex and edge groups are isomorphic to $\mathbb{Z}^…
Boundary actions of CAT(0) spaces: topological freeness and applications to -algebras
Xin Ma, Daxun Wang, Wenyuan Yang
In this paper, we study topological dynamics on the visual boundary and several combinatorial boundaries associated to spaces. Through verifying the freenes…
Boundary actions of Bass-Serre Trees and the applications to -algebras
Xin Ma, Daxun Wang, Wenyuan Yang
In this paper, we study Bass-Serre theory from the perspectives of -algebras and topological dynamics. In particular, we investigate the actions of fundamental groups of graph…
On acylindrical tree actions and outer automorphism group of Baumslag-Solitar groups
Bratati Som, Daxun Wang
This paper explores acylindrical actions on trees, building on previous works related to the mapping class group and projection complexes. We demonstrate that the quotient action o…
Relative profinite rigidity of Baumslag-Solitar groups
Daxun Wang
We prove that each residually finite Baumslag-Solitar group can be distinguished by its finite quotients from all other residually finite Baumslag-Solitar groups.
The isomorphism problem for small-rose generalized Baumslag-Solitar groups
Daxun Wang
A generalized Baumslag-Solitar group is a finitely generated group that acts on a tree with infinite-cyclic vertex and edge stabilizers. In this paper, we show that the isomorphism…