\Lambda-buildings and base change functors

Koen Struyve; Petra N. Schwer

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Λ-buildings and base change functors

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arxiv 0910.1482 v2 pith:NCUPC52L submitted 2009-10-08 math.GR math.MG

\Lambda-buildings and base change functors

Petra N. Schwer , Koen Struyve This is my paper

classification math.GR math.MG

keywords affinebuildingsgeneralizedbasechangeanalogapplicationapplications

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We prove an analog of the base change functor of \Lambda-trees in the setting of generalized affine buildings. The proof is mainly based on local and global combinatorics of the associated spherical buildings. As an application we obtain that the class of generalized affine building is closed under ultracones and asymptotic cones. Other applications involve a complex of groups decompositions and fixed point theorems for certain classes of generalized affine buildings.

\Lambda-buildings and base change functors

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