On just-infinite periodic locally soluble groups

2016/11/26 by Grigorchuk, Rostislav, Shumyatsky, Pavel
#FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1611.08739

Abstract

We construct an uncountable family of periodic locally soluble groups which are hereditarily just infinite. We also show that the associated full C*-algebra C*(G) is just infinite for many groups G in this family.

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