129 citations · 401 across the 50 of their papers we have counts for
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On just-infinite periodic locally soluble groups
Rostislav Grigorchuk, Pavel Shumyatsky
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…
On just-infiniteness of locally finite groups and their C*-algebras
V. Belyaev, R. Grigorchuk, P. Shumyatsky
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…
Just-infinite C*-algebras
Rostislav Grigorchuk, Magdalena Musat, Mikael Rørdam
By analogy with the well-established notions of just-infinite groups and just-infinite (abstract) algebras, we initiate a systematic study of just-infinite C*-algebras, i.e., infin…
Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces
Tullio Ceccherini-Silberstein, Rostislav I. Grigorchuk, Pierre de la Harpe
This is an expostion of various aspects of amenability and paradoxical decompositions for groups, group actions and metric spaces. First, we review the formalism of pseudogroups, w…