Coarse dynamics and fixed point property

2008/12/18 by Tomohiro Fukaya, Fukaya, Tomohiro
Mathematics · Physics and Astronomy · #53C24 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Geometric Topology (math.GT) #Metric Geometry (math.MG) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.0812.3475

openalex publication_date 2008/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the fixed point property of the group actions on a coarse space and its Higson corona. We deduce the coarse version of Brouwer's fixed point theorem.

Related

• Coarse fixed point properties
• Coarse Kernels of Group Actions
• A Degree-Theoretic Proof of a Coarse Fixed Point Principle
• An Invitation to Coarse Groups
• Property A for coarse spaces