Abstract
We prove that the crossed product Banach algebra \(\ell ^1(G,A;\alpha )\) that is associated with a \({\mathrm C}^*\)-dynamical system \((A,G,\alpha )\) is amenable if G is a discrete amenable group and A is a commutative or finite dimensional \({\mathrm C}^*\)-algebra. Perspectives for further developments are indicated.
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de Jeu, M., El Harti, R. & Pinto, P.R. Amenable Crossed Product Banach Algebras Associated with a Class of \(\varvec{{\mathrm C}^*}\)-Dynamical Systems. Integr. Equ. Oper. Theory 87, 169–178 (2017). https://doi.org/10.1007/s00020-017-2345-2
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DOI: https://doi.org/10.1007/s00020-017-2345-2