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Rigidity at infinity of trees and Euclidean buildings
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Rigidity at infinity of trees and Euclidean buildings
classification
math.MG
keywords
actionbuildingsdeterminedeuclideanfiniteinfinitylocallytree
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We show that if a group G acts isometrically on a locally finite leafless R-tree inducing a two-transitive action on its ends, then this tree is determined by the action of G on the boundary. As a corollary we obtain that locally finite Euclidean buildings without tree or cone factors are determined by their complete building at infinity.
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