(Non-)completeness of R-buildings and fixed point theorems
Metric Geometry
2009-09-18 v1
Abstract
We prove two generalizations of results proved by Bruhat and Tits involving metrical completeness and R-buildings. Firstly, we give a generalization of the Bruhat-Tits fixed point theorem also valid for non-complete R-buildings, but with the added condition that the group is finitely generated. Secondly, we generalize a criterion which reduces the problem of completeness to the wall trees of the R-building.
Keywords
Cite
@article{arxiv.0909.3202,
title = {(Non-)completeness of R-buildings and fixed point theorems},
author = {Koen Struyve},
journal= {arXiv preprint arXiv:0909.3202},
year = {2009}
}