Λ-buildings and base change functors

Details Λ-buildings and base change functors Λ-buildings and base change functors

2009-10-08

arxiv.org/abs/0910.1482v2

Mathematics

Group Theory

revised version, 29 pages, to appear in Geom. Dedicata. arXiv admin note: text overlap with arXiv:0902.1107 by other authors

Scientific paper

10.1007/s10711-011-9611-2

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.

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