On just-infiniteness of locally finite groups and their C*-algebras

2016/06/24 by V. Belyaev, Belyaev, V., R. Grigorchuk +3 · 1 citation
Mathematics · #16S34 #20F50 #46L05 #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA) #Rings and Algebras (math.RA) #math.GR #math.OA #math.RA #msc:16S34 #msc:20F50 #msc:46L05

paper · pdf · doi:10.48550/arxiv.1606.07648

arxiv created 2016/06/24 · arxiv updated 2016/06/27

Abstract

We give a construction of a family of locally finite residually finite groups with just-infinite C*-algebra. This answers a question from [2]. Additionally, we show that residually finite groups of finite exponent are never just-infinite.

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• On just-infinite periodic locally soluble groups

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• Just-infinite C*-algebras
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