English

Nontrivial homeomorphisms of \v{C}ech-Stone remainders

Logic 2016-09-12 v1 Operator Algebras

Abstract

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, βXX\beta X\setminus X has nontrivial homeomorphisms, whenever XX is a noncompact locally compact metrizable manifold.

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Cite

@article{arxiv.1609.02616,
  title  = {Nontrivial homeomorphisms of \v{C}ech-Stone remainders},
  author = {Alessandro Vignati},
  journal= {arXiv preprint arXiv:1609.02616},
  year   = {2016}
}

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12 pages