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Coarse dynamics and fixed-point theorem
Published online by Cambridge University Press: 11 January 2016
Abstract
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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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- Copyright © Editorial Board of Nagoya Mathematical Journal 2011
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