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arxiv: 1606.07648 · v1 · pith:SZXKIRSTnew · submitted 2016-06-24 · 🧮 math.OA · math.GR· math.RA

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

classification 🧮 math.OA math.GRmath.RA
keywords finitegroupsjust-infinitelocallyresiduallyadditionallyalgebraalgebras
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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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