论文标题
与部分动力学系统相关的交叉产品的核维度
Nuclear dimension of crossed products associated to partial dynamical systems
论文作者
论文摘要
我们将有限群体的某些部分动作或$ \ mathbb {z} $在有限尺寸局部紧凑的Hausdorff第二可计数空间上绑定了相关产品的核维度。我们的结果适用于全球性的部分动作，有限的群体部分动作，最小的局部自动形态和作用于零维空间或一类一个维度空间的部分自动形态，其中包含$ 1 $维的CW综合体。这扩展了Hirshberg和Wu对全球系统的工作。
We bound the nuclear dimension of crossed products associated to some partial actions of finite groups or $\mathbb{Z}$ on finite dimensional locally compact Hausdorff second countable spaces. Our results apply to globalizable partial actions, finite group partial actions, minimal partial automorphisms, and partial automorphisms acting on zero-dimensional spaces, or a class of one dimensional spaces, containing $1$-dimensional CW complexes. This extends work on global systems by Hirshberg and Wu.
