¹University of Los Andes, Mérida, Venezuela. Email: barcenas@ula.ve
²University of Los Andes, Mérida, Venezuela. Email: walterespinoza@hotmail.com
³University of Los Andes, Mérida, Venezuela. Email: edixonr@ula.ve

It is proved in this paper that several classical Banach algebras are not isomorphic to a group algebra. These algebras includes C(K) algebras where K is a compact Hausdorff space. In the case of amalgams, we give conditions for an amalgam to be a group algebra.

Key words: Amalgams, Dunford-Pettis property, Radon-Nikodym property.

En este artículo se prueba que algunas álgebras de Banach clásicas no son isomorfas a un álgebra de grupo. Estas álgebras incluyen a las álgebras C(K) donde K es un espacio de Hausdorff Compacto. En el caso de las amalgamas, damos condiciones para que una amalgama sea un álgebra de grupo.

Palabras clave: Amalgamas, propiedad de Dunford-Pettis, propiedad de Radon-Nikodym.

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