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June 2011 Coarse dynamics and fixed-point theorem
Tomohiro Fukaya
Nagoya Math. J. 202: 1-13 (June 2011). DOI: 10.1215/00277630-1260414

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.

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Tomohiro Fukaya. "Coarse dynamics and fixed-point theorem." Nagoya Math. J. 202 1 - 13, June 2011. https://doi.org/10.1215/00277630-1260414

Information

Published: June 2011
First available in Project Euclid: 31 May 2011

zbMATH: 1221.54056
MathSciNet: MR2804542
Digital Object Identifier: 10.1215/00277630-1260414

Subjects:
Primary: 55C20
Secondary: 20F65

Rights: Copyright © 2011 Editorial Board, Nagoya Mathematical Journal

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Vol.202 • June 2011
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