Triangle Joins of SP1 Equivalence Relations and their Cost
Group Theory
2007-05-23 v2 Dynamical Systems
Abstract
Free joins of measure preserving equivalence relations, with or without amalgamation were introduced by Gaboriau, who studied their cost and obtained a formula for the cost of free products of groups. We introduce the notion of triangle join of measure preserving equivalence relations and study their cost. As a consequence we show that the cost of Thompson's group G is 1.
Keywords
Cite
@article{arxiv.math/0503280,
title = {Triangle Joins of SP1 Equivalence Relations and their Cost},
author = {Teodor Stefan Bildea},
journal= {arXiv preprint arXiv:math/0503280},
year = {2007}
}
Comments
Added computation of the cost of Thompsons group G