Abstract
We prove that for every countable discrete group G, there is a G-flow on ω* that has every G-flow of weight ≤ ℵ1 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 τ of P(ω)/fin with every other automorphism embedded in it, which means that every other automorphism of P(ω)/fin can be written as the restriction of τ to a suitably chosen subalgebra. We give an exact characterization of all trivial automorphisms with this property.
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