C*-simplicity of stabilizer subgroups of finite groups

Let Γ be a countable discrete group and X be a minimal Γ-space. For x ۲ X, suppose Γx = ft ۲ Γ : tx = xg be the stabilizer subgroup of x. We know that if Γx is C*-simple for some x ϵ X, then C(X) or Γ is simple. Ozawa conjectured that the converse is also true. We prove that this is correct for finite case.

کلیدواژه ها:

countable discrete group ، Furstenberg boundary ، Stabilizer subgroup ، C*-simplicity