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• W2021140544 abstract "Let G denote a discrete group and let us say that G is C *-simple if the reduced group C *-algebra associated with G is simple. We notice immediately that there is no interest in considering here the full group C *-algebra associated with G , because it is simple if and only if C is trivial. Since Powers in 1975 [26] proved that all nonabelian free groups are C *-simple, the class of C *-simp1e groups has been considerably enlarged (see [1, 2, 6, 7, 12, 13, 14, 16, 24] as a sample!), and two important subclasses are so-called weak Powers groups ([6, 13]; see Section 4 for definition and examples) and the groups of Akemann-Lee type [1, 2], which are groups possessing a normal non-abelian free subgroup with trivial centralizer." @default.
• W2021140544 created "2016-06-24" @default.
• W2021140544 creator A5022578049 @default.
• W2021140544 date "1991-05-01" @default.
• W2021140544 modified "2023-09-30" @default.
• W2021140544 title "Discrete groups and simple C*-algebras" @default.
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• W2021140544 doi "https://doi.org/10.1017/s0305004100069966" @default.
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