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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R. Grigorchuk was supported by NSA Grant H98230-15-1-0328. P. Shumyatsky was supported by FAPDF and CNPq.
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Grigorchuk, R., Shumyatsky, P. On just infinite periodic locally soluble groups. Arch. Math. 109, 19–27 (2017). https://doi.org/10.1007/s00013-017-1043-2
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DOI: https://doi.org/10.1007/s00013-017-1043-2