Hermitian crossed product Banach algebras

We show that the Banach *-algebra $\ell^1(G,A,α)$, arising from a C*-dynamical system $(A,G,α)$, is an hermitian Banach algebra if the discrete group $G$ is finite or abelian (or more generally, a finite extension of a nilpotent group). As a corollary, we obtain that $\ell^1(\mathbb{Z},C(X),α)$ is hermitian, for every topological dynamical system $Σ= (X, σ)$, where $σ: X\to X$ is a homeomorphism of a compact Hausdorff space $X$ and the action is $α_n(f)=f\circ σ^{-n}$ with $n\in\mathbb{Z}$.