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On the Simplicity of C$^*$-algebras Associated to Multispinal Groups

Published 3 Feb 2021 in math.OA and math.GR | (2102.02199v2)

Abstract: We characterize the simplicity of universal C$*$-algebras arising from multispinal groups. Let $\mathcal{O}{G{\max}}$ be the universal C$*$-algebra associated to a multispinal group $G$. We show that the invertibility of a matrix completely determines the simplicity of $\mathcal{O}{G{\max}}$.

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