Abstract: I will introduce a GNS construction as a formalism to study baby universes. This naturally shifts the primordial role to the algebra of observables rather than the Hilbert spaces. I will explicitly form baby universe operations and utilize them to build baby universe algebras. Using these ingredients, I will construct the baby universe Hilbert spaces. I will highlight that this approach will give an understanding of the miraculous cancellation as a natural result from the character theory. I will illustrate its physics by giving two different physical settings as examples.