English

Factors from trees

Operator Algebras 2013-02-26 v1

Abstract

We construct factors of type \tn\tn for n\NN,n2n\in\NN, 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 \tone\tone is constructed from a group action on the boundary of the universal cover of a manifold.

Keywords

Cite

@article{arxiv.1302.5922,
  title  = {Factors from trees},
  author = {Jacqui Ramagge and Guyan Robertson},
  journal= {arXiv preprint arXiv:1302.5922},
  year   = {2013}
}
R2 v1 2026-06-21T23:31:45.729Z