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 for , 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 is constructed from a group action on the boundary of the universal cover of a manifold.