【摘要】 研究了离散度量空间上的秩一致ROE代数的理想结构同度量空间的粗几何性质的联系.对度量空间的每个子空间理想,构造了秩一致ROE代数的一个闭理想.证明了若度量空间具有G.YU提出的"性质A",则秩一致ROE代数的每个闭理想都可以由唯一的子空间理想具体构造出来.更多还原

【Abstract】 The connection between ideal structure of the rank uniform ROE algebra and the coarse geometry of a discrete metric space is studied. Associated with each subspace ideal of the metric space, a closed ideal of the rank uniform ROE algebra is constructed. It is shown that, if the metric space has G. YU’s property A, then each closed ideal of the rank uniform ROE algebra comes from a unique subspace ideal of the metric space.更多还原