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 language | English |
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Pages (from-to) | 105-107 |
Number of pages | 3 |
Journal | Proceedings of the Japan Academy Series A: Mathematical Sciences |
Volume | 85 |
Issue number | 8 |
DOIs | |
Publication status | Published - 2009 |
Externally published | Yes |
Keywords
- Coarse geometry
- Fixed point theorem
- Higson corona
ASJC Scopus subject areas
- Mathematics(all)