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

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

2011-06-14

arxiv.org/abs/1106.2618v2

Mathematics

Operator Algebras

7 pages

Scientific paper

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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