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Boundary -algebras for acylindrical groups
Authors:Guyan Robertson
Institution:School of Mathematics and Statistics, University of Newcastle, NE1 7RU, United Kingdom
Abstract:Let $ \Delta$ be an infinite, locally finite tree with more than two ends. Let $ \Gamma<\operatorname{Aut}(\Delta)$ be an acylindrical uniform lattice. Then the boundary algebra $ \mathcal{A}_\Gamma = C(\partial\Delta)\rtimes \Gamma$ is a simple Cuntz-Krieger algebra whose K-theory is determined explicitly.

Keywords:Acylindrical group  boundary  Cuntz-Krieger algebra
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