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Boundary -algebras for acylindrical groups
Authors:Guyan Robertson
Affiliation: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(partialDelta)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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