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Factors from trees
Authors:Jacqui Ramagge  Guyan Robertson
Institution:Department of Mathematics, University of Newcastle, Callaghan, New South Wales 2308, Australia ; Department of Mathematics, University of Newcastle, Callaghan, New South Wales 2308, Australia
Abstract:We construct factors of type $\mathrm {III}_{1/n}$ for $n\in {\Bbb N}, n\geq 2$, from group actions on homogeneous trees and their boundaries. Our result is a discrete analogue of a result of R.J Spatzier, where the hyperfinite factor of type $\mathrm {III}_{1}$ is constructed from a group action on the boundary of the universal cover of a manifold.

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