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Let $G$ be an acylindrically hyperbolic group. We prove that if $G$ has nonon-trivial finite normal subgroups, then the set of invertible elements isdense in the reduced $C^\ast$-algebra of $G$. The same result is obtained forfinite direct products of acylindrically hyperbolic groups.

On invertible elements in reduced $C^*$-algebras of acylindrically hyperbolic groups