Gelfand topology
= Gelfand topology
{c}
{wiki=Gelfand_representation#The_spectrum_of_a_commutative_Banach_algebra}
The Gelfand topology on $\Phi_A$ is the weak-star topology inherited from $A^*$, equivalently the coarsest topology making every map $\varphi\mapsto\varphi(a)$ continuous.