Nontrivial homeomorphisms of \v{C}ech-Stone remainders
  We study the group of automorphisms of certain corona C*-algebras. As a corollary of a more general C*-algebraic result, we show that, under the Continuum Hypothesis, $\beta X\setminus X$ has nontrivial homeomorphisms, whenever $X$ is a noncompact locally compact metrizable manifold. 
Alessandro Vignati
math.LO math.OA