Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Factors from trees

Author(s): Jacqui Ramagge; Guyan Robertson
Journal: Proc. Amer. Math. Soc. 125 (1997), 2051-2055.
MSC (1991): Primary 46L10
MathSciNet review: 1377004
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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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