Coarse fixed point theorem

Tomohiro Fukaya

Research output: Contribution to journalArticlepeer-review

Abstract

We study group actions on a coarse space and the induced actions on the Higson corona from a dynamical point of view. Our main theorem states that if an action of an abelian group on a proper metric space satisfies certain conditions, the induced action has a fixed point in the Higson corona. As a corollary, we deduce a coarse version of Brouwer's fixed point theorem.

Original languageEnglish
Pages (from-to)105-107
Number of pages3
JournalProceedings of the Japan Academy Series A: Mathematical Sciences
Volume85
Issue number8
DOIs
Publication statusPublished - 2009

Keywords

  • Coarse geometry
  • Fixed point theorem
  • Higson corona

ASJC Scopus subject areas

  • Mathematics(all)

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