Boundary Action On Simple Reduced Group C*-Algebras

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V.A. Onuche , ., T.J Alabiand , ., & O.F. Ajayi, . (2021). Boundary Action On Simple Reduced Group C*-Algebras. The American Journal of Interdisciplinary Innovations and Research, 3(01), 1–15. https://doi.org/10.37547/tajiir/Volume03Issue01-01
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Abstract

A connection between boundary actions, ideal structure of reduced crossed products and C*-simple group is imminent.We investigate the stability properties for discrete group pioneered by powers and show that the non-abelian free group on two generators is C*-simple.Kalantar and Kennedy [32, Theorem 6.2] is now extended. Some examples are given using characterization of C*-simplicity obtained by Kalantar, Kennedy, Breuillard, and Ozawa [10, Theorem 3.1]

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