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Quasi-actions on trees and Property (QFA)

Jason Fox Manning
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Abstract

We prove some general results about quasi-actions on trees and define Property (QFA), which is analogous to Serre's Property (FA), but in the coarse setting. This property is shown to hold for a class of groups, including $SL(n,\Z)$ for $n\geq 3$. We also give a way of thinking about Property (QFA) by breaking it down into statements about particular classes of trees.

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Jason Fox Manning. 2006-01-13. Quasi-actions on trees and Property (QFA). https://arxiv.org/abs/math/0310065

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