$C^*$-simplicity for groups with non-elementary convergence group actions

Saeko Yamagata; Shin-ichi Oguni; Yoshifumi Matsuda

arxiv: 1106.2618 · v2 · pith:Z6HNDLDFnew · submitted 2011-06-14 · 🧮 math.OA · math.DS· math.GR

C^*-simplicity for groups with non-elementary convergence group actions

Yoshifumi Matsuda , Shin-ichi Oguni , Saeko Yamagata This is my paper

classification 🧮 math.OA math.DSmath.GR

keywords groupconvergencenon-elementarypowersprovestronglyactionactions

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We prove that a countable group with an effective minimal non-elementary convergence group action is a Powers group. More strongly we prove that it is a strongly Powers group and thus its non-trivial subnormal subgroups are $C^*$-simple.

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C^*-simplicity for groups with non-elementary convergence group actions

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