Coarse dynamics and fixed-point theorem

Tomohiro Fukaya

Research output: Contribution to journalArticle

Abstract

We study semigroup 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 semigroup on a proper coarse 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)1-13
Number of pages13
JournalNagoya Mathematical Journal
Volume202
DOIs
Publication statusPublished - 2011 Jul 26

ASJC Scopus subject areas

  • Mathematics(all)

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