Amenable crossed product Banach algebras associated with a class of   $\mathrm{C}^\ast$-dynamical systems
  We prove that the crossed product Banach algebra $\ell^1(A,G,\alpha)$ that is associated with a $\mathrm{C}^\ast$-dynamical system $(A,G,\alpha)$ is amenable if $G$ is a discrete amenable group and $A$ is a commutative or finite dimensional $\mathrm{C}^\ast$-algebra. Perspectives for further developments are indicated. 
Marcel de Jeu, Rachid El Harti, and Paulo R. Pinto
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