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Selfless C*-algebras

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arxiv 2309.14188 v3 pith:B5OQ4TV3 submitted 2023-09-25 math.OA

Leonel Robert This is my paper · ORCID
classification math.OA
keywords algebrasalgebragroupadvertiseclasscuntzdimensionalexamples
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The aim of this note is to advertise a class of simple C*-algebras which includes noteworthy examples such as the Jiang-Su C*-algebra, the infinite dimensional UHF C*-algebras, the reduced group C*-algebra of the free group in infinitely many generators, and the Cuntz algebras.

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  1. Strict comparison in reduced group $C^*$-algebras

    math.OA 2024-12 conditional novelty 8.0 of 10

    The reduced C*-algebras of free groups F_n for n ≥ 2, and of finitely generated acylindrically hyperbolic groups with trivial finite radical and rapid decay, have strict comparison and are selfless.

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