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Factors From Trees, Jacqueline Ramagge, A G. Robertson
Factors From Trees, Jacqueline Ramagge, A G. Robertson
Faculty of Informatics - Papers (Archive)
We construct factors of type III,/n for n E N, n > 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 III1 is constructed from a group action on the boundary of the universal cover of a manifold.