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Factors from trees

Author(s): Jacqui Ramagge; Guyan Robertson
Journal: Proc. Amer. Math. Soc. 125 (1997), 2051-2055.
MSC (1991): Primary 46L10
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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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Additional Information:

Jacqui Ramagge
Affiliation: Department of Mathematics, University of Newcastle, Callaghan, New South Wales 2308, Australia
Email: jacqui@maths.newcastle.edu.au

Guyan Robertson
Affiliation: Department of Mathematics, University of Newcastle, Callaghan, New South Wales 2308, Australia
Email: guyan@maths.newcastle.edu.au

DOI: 10.1090/S0002-9939-97-03818-5
PII: S 0002-9939(97)03818-5
Received by editor(s): January 26, 1996
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1997, American Mathematical Society

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