Amenability of actions on the boundary of a building

Jean Lecureux (1)

1 ICJ - Institut Camille Jordan

We prove that the action of the automorphism group of a building on its boundary is topologically amenable. The notion of boundary we use was defined in a previous paper \cite{CL}. It follows from this result that such groups have property (A), and thus satisfy the Novikov conjecture. It may also lead to applications in rigidity theory.

Mots clés: Buildings; amenable actions; boundary; Novikov conjecture

Domaines: Théorie des groupes [math.GR]

Jean Lecureux. Amenability of actions on the boundary of a building. 2009. ⟨hal-00403665⟩