(Non)-completeness of R–buildings and fixed point theorems
نویسنده
چکیده
We prove two generalizations of results appearing in [4] 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. This criterion occured in [4] for R–buildings arising from root group data with valuation.
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