Motivated by the work of McCarthy and Papadopoulos for subgroups of mappingclass groups, we construct domains of proper discontinuity in the compactifiedOuter space and in the projectivized space of geodesic currents for any"sufficiently large" subgroup of $Out(F_N)$ (that is, a subgroup containing ahyperbolic iwip). As a corollary we prove that for $Nge 3$ the action of $Out(F_N)$ on thesubset of $mathbb PCurr(F_N)$ consisting of all projectivized currents withfull support is properly discontinuous.
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机译：麦卡锡和Papadopoulos的作业激励了MappingClass组的子组，我们在Compactivingouter空间中构建了适当的不连续性的域，并且在大量的“足够大的”子群（F_N）$（即，含有ahyperbolic IWIP的亚组）。作为一种推论，我们证明了$ n ge 3 $ of $ of $ of $ mathbb pcurr（f_n）$的action，由所有投影化的电流组成，符合支持的所有项目都是不连续的。
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