Abstract

BARCENAS, DIOMEDES; ESPINOZA, WALTER  and  ROJAS, EDIXON. A note on Banach algebras that are not isomorphic to a group algebra. Rev.colomb.mat. [online]. 2008, vol.42, n.1, pp.67-72. ISSN 0034-7426.

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.

Keywords : Amalgams; Dunford-Pettis property; Radon-Nikodym property.

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