Boundary $C^{\ast }$-algebras for acylindrical groups

Abstract

Let $\Delta$ 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.

Some typos and the final paragraph of Example 5.1 have been corrected

References in corpus (1)

• Boundary operator algebras for free uniform tree lattices