English

Triangle buildings and actions of type $III_{1/q^2}$

Operator Algebras 2014-04-30 v1

Abstract

We study certain group actions on triangle buildings and their boundaries and some von Neumann algebras which can be constructed from them. In particular, for buildings of order q3q\geq 3 certain natural actions on the boundary are hyperfinite of type \tqs\tqs.

Keywords

Cite

@article{arxiv.1302.6071,
  title  = {Triangle buildings and actions of type $III_{1/q^2}$},
  author = {Jacqui Ramagge and Guyan Robertson},
  journal= {arXiv preprint arXiv:1302.6071},
  year   = {2014}
}