Boundary $C^*$-algebras for acylindrical groups

Robertson, Guyan
Description
Let $\Delta$ be an infinite, locally finite tree with more than two ends. Let $\Gamma<\aut(\Delta)$ be an acylindrical uniform lattice. Then the boundary algebra $\cl A_\Gamma = C(\partial\Delta)\rtimes \Gamma$ is a simple Cuntz-Krieger algebra whose K-theory is determined explicitly.
Comment: Some typos and the final paragraph of Example 5.1 have been corrected
Keywords
Mathematics - Operator Algebras, Mathematics - Group Theory, 20E08, 46L80