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

Guyan Robertson; Jacqui Ramagge

arxiv: 1302.6071 · v1 · pith:HF3SFUIXnew · submitted 2013-02-25 · 🧮 math.OA

Triangle buildings and actions of type III_(1/q²)

Jacqui Ramagge , Guyan Robertson This is my paper

classification 🧮 math.OA

keywords actionsbuildingscertaintriangletypealgebrasboundariesboundary

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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/q²)

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