Triangle buildings and actions of type $III_{1/q^2}$

preprint2013arXivOpen access

We study certain group actions on triangle buildings and their boundaries and some von Neumann algebras which can be constructed from them. In particular, for buildings of order $q\geq 3$ certain natural actions on the boundary are hyperfinite of type $\tqs$.

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Triangle buildings and actions of type $III_{1/q^2}$

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Triangle buildings and actions of type III1/q2III_{1/q^2}III1/q2​

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Triangle buildings and actions of type $III_{1/q^2}$