Tim Steger

A family of à n -groups

AbstractFor each integern≥2 and for each prime powerq, we exhibit a group Γ which acts simply transitively on the set of vertices of the building of type Ãn associated with the local field

K

\mathbb{F}^q ((Y))

\tA_2

. This generalizes work in [2] and [8] (wheren=2) and in [1] (wheren≤4).

Buildings

Let

Negative definite kernels and a dynamical characterization of property (T) for countable groups

\Gamma

Irreducible subshifts associated with à 2 buildings

be a torsion free lattice in

X-Ray spectra background fitting by projection onto convex sets

G=\PGL(3,{{\mathbb F}})

Free group representations from vector-valued multiplicative functions, I

where