Let A be an affine building of type Ã2 and let Γ be a discrete group of type-rotating automorphisms acting simply transitively on the vertices of Δ. We prove that the reduced group C*-algebra C*_r(T) is simple. To prove this result we use the sufficient condition for the simplicity of C*_r(T) given in a recent paper by M. Bekka, M. Cowling and P. de la Harpe.
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