Amenability of actions on the boundary of a building

Details Amenability of actions on the boundary of a building Amenability of actions on the boundary of a building

2009-07-12

arxiv.org/abs/0907.2033v1

Mathematics

Group Theory

Scientific paper

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.

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