The CH abundance result for nontrivial autohomeomorphisms

Let $X$ be a locally compact, non-compact, separable metrizable space, and let $X^*$ denote its Stone–Čech remainder. An autohomeomorphism of $X^*$ is a homeomorphism from $X^*$ to itself, and it is nontrivial if it is not trivial in the sense used for representations in the paper. CH abundance statement. Assuming the Continuum Hypothesis, $X^*$ has $2^{\aleph_1}$ nontrivial autohomeomorphisms. This gives a strong contrast with the PFA rigidity conjecture: under CH, every such remainder has many autohomeomorphisms that are not of the prescribed trivial form.