Zixiang Zhou

collaborators

2 papers

math.GR2025

Embedding groups into boundedly acyclic groups

Fan Wu, Xiaolei Wu, Mengfei Zhao +1

We show that the \sÏ-labeled Thompson groups and the twisted Brin--Thompson groups are boundedly acyclic. This allows us to prove several new embedding results for groups. First,…

math.GT2024

Bounded cohomology of diffeomorphism groups of higher dimensional spheres

Zixiang Zhou

In this paper we prove the vanishing of the bounded cohomology of $Diff_{+}^{r} (S^{n})$ with real coefficients when $n \geq 4$ and $1 \leq r \leq \infty$ . This answers the question r…