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arXiv · 0710.3460

Boundary $C^*$-algebras for acylindrical groups

Guyan Robertson
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Abstract

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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Guyan Robertson. 2007-10-18. Boundary $C^*$-algebras for acylindrical groups. https://arxiv.org/abs/0710.3460

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