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Quasi-actions on Trees and Property (qfa) Contents 1. Introduction 1 1.1. Acknowledgments 2 2. Preliminaries 2 2.1. Coarse Geometry 2 2.2. Quasi-trees and Other Hyperbolic Spaces 3 2.3. Bounded Cohomology, Amenability, and Trauber's Theorem 4
| Content Provider | Semantic Scholar |
|---|---|
| Author | Manning, Jason Fox |
| Copyright Year | 2006 |
| 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 ≥ 3. We also give a way of thinking about Property (QFA) by breaking it down into statements about particular classes of trees. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0310065v1.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
