Author： Broussous Paul
Publisher： Springer Publishing Company
ISSN： 0025-5831
Source： Mathematische Annalen, Vol.329, Iss.3, 2004-07, pp. : 495-511
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Abstract
Let G=GL(N,K), K a non-archimedean local field and X be the semisimple affine building of G over K. We construct a projective tower of G-sets with X(0)=X. They are obtained by using a minor modification in Bruhat and Tits’ original construction (an idea due to P. Schneider). Using the structure of X as an abstract building, we construct a projective tower of simplicial G-complexes such that, for each r, X
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