Triangle Joins of SP1 Equivalence Relations and their Cost

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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.
Added computation of the cost of Thompsons group G

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Group Theory, Dynamical Systems, 37A20,20E06,20F67

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http://salesiana.dossiersoluciones.com/handle/123456789/74492

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503280
 http://arxiv.org/abs/math/0503280

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arXiv