Higman–Thompson‐like groups of higher rank graph C*‐algebras

Let Λ $\Lambda$ be a row-finite and source-free higher rank graph with finitely many vertices. In this paper, we define the Higman–Thompson-like group h t $\operatorname{\Lambda _{ht}}$ of C*-algebra O $\mathcal {O}_\Lambda$ to special subgroup unitary in . It is shown that closely related topological full groups groupoid associated Some properties are also investigated. We show its commutator ′ _{ht}^\prime }$ simple has only one non-trivial uniformly recurrent if aperiodic strongly connected. Furthermore, single-vertex, then prove C*-simple provide an explicit description on stabilizer under natural action infinite path space