Boundary $C^*$-algebras for acylindrical groups

Details Boundary $C^*$-algebras for acylindrical groups Boundary $C^*$-algebras for acylindrical groups

2007-10-18

arxiv.org/abs/0710.3460v1

Mathematics

Operator Algebras

Scientific paper

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.

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