Boundary $C^*$ -algebras for acylindrical groups

preprint2013arXivOpen access

Let $Δ$ be an infinite, locally finite tree with more than two ends. Let $Γ<\aut(Δ)$ be an acylindrical uniform lattice. Then the boundary algebra $\cl A_Γ= C(\partialΔ)\rtimes Γ$ is a simple Cuntz-Krieger algebra whose K-theory is determined explicitly.

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Boundary $C^*$ -algebras for acylindrical groups

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Boundary $C^*$ -algebras for acylindrical groups