Amenability of actions on the boundary of a building

2009/07/12 by Lecureux, Jean · 3 citations
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.0907.2033

Abstract

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 \citeCL. 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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• Boundary actions of CAT(0) spaces: topological freeness and applications to C^*-algebras
• Hyperfiniteness of the boundary action of virtually special groups
• Universal C^∗-Algebras from Graph Products: Structure and Applications

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