Affine twin R-buildings

AbstractIn this paper, we define twinnings for affine R-buildings. We thus extend the theory of simplicial twin buildings of affine type to the non-simplicial case. We show how classical results can be extended to the non-discrete case, and, as an application, we prove that the buildings at infinity of a Moufang twin R-building have the induced structure of a Moufang building. The latter is not true for ordinary “Moufang” R-buildings