Gelfand theory for non-commutative Banach algebras

Rachid Choukri, El Hossein Illoussamen, Volker Runde

Let $A$ be a Banach algebra. We call a pair $(G,B)$ a Gelfand theory for $A$ if the following axioms are satisfied: (G 1) $B$ is a $C^{\ast }$-algebra, and $G:A\to B$ is a homomor…