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arXiv · 1606.06004

Amenable crossed product Banach algebras associated with a class of $\mathrm{C}^\ast$-dynamical systems

Marcel de Jeu·Rachid El Harti·Paulo R. Pinto
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Abstract

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.

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Marcel de Jeu, Rachid El Harti, Paulo R. Pinto. 2016-06-20. Amenable crossed product Banach algebras associated with a class of $\mathrm{C}^\ast$-dynamical systems. https://doi.org/10.1007/s00020-017-2345-2

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