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

2011/06/14 by Yoshifumi Matsuda, Matsuda, Yoshifumi, Shin-ichi Oguni +3
Mathematics · #20F65 #22D25 #37B05 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Operator Algebras (math.OA) #math.DS #math.GR #math.OA #msc:20F65 #msc:22D25 #msc:37B05

paper · pdf · doi:10.48550/arxiv.1106.2618

7 pages

openalex publication_date 2011/06/14 · arxiv created 2011/08/11 · arxiv updated 2011/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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