Summary: We prove that for every countable discrete group \(G,\) there is a \(G\)-flow on \(\omega\)* that has every \(G\)-flow of weight \(\leq \aleph_1\) as a quotient. It follows that, under the Continuum Hypothesis, there is a universal \(G\)-flow of weight \(\leq \mathfrak{c}\).
Applying Stone duality, we deduce that, under CH, there is a trivial automorphism \(\tau\) of \(P(\omega)/\mathrm{fin}\) with every other automorphism embedded in it, which means that every other automorphism of \(P(\omega)/\mathrm{fin}\) can be written as the restriction of \(\tau\) to a suitably chosen subalgebra. We give an exact characterization of all trivial automorphisms with this property.