ScalingStacks

Definition 2.24. The Gelfand transform of $\mathcal{A}$ is the homomorphism of Banach $k$-algebras

$$\widehat{}:A\to\prod_{z\in\mathfrak{M}(\mathcal{A})}\hat{\kappa}(z),\quad f\mapsto\widehat{f}=(f(z))_{z\in\mathfrak{M}(\mathcal{A})}$$