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arXiv · 1302.6071

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

Jacqui Ramagge·Guyan Robertson
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Abstract

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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Jacqui Ramagge, Guyan Robertson. 2013-02-25. Triangle buildings and actions of type $III_{1/q^2}$. https://arxiv.org/abs/1302.6071

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