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

preprint2011arXivOpen access

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

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