Nontrivial homeomorphisms of v{C}ech-Stone remainders
classification
🧮 math.LO
math.OA
keywords
homeomorphismsnontrivialalgebraicalgebrasautomorphismsbetacertaincompact
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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.
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