论文标题
$ c（x，d）$的自动形态的交叉产品结构
The structure of crossed products by automorphisms of $C (X, D)$
论文作者
论文摘要
我们通过$ c（x，d）$的交叉产品构建了集中的亚级别，其中$ d $很简单，$ x $是紧凑的Metrizable，自动形态的最小同源性$ x $，并且是一个温和的技术假设。我们使用这种结构来证明交叉产品的结构性特性，例如（奇特）$ z $稳定性，稳定等级一，真正的等级零和纯粹的无限性，在许多示例中。我们的示例无法通过基于有限的Rokhlin维度的方法访问，因为$ d $不是$ z $ - 稳定，或者是因为$ x $是无限的维度。
We construct centrally large subalgebras in crossed products of $C (X, D)$ by automorphisms in which $D$ is simple, $X$ is compact metrizable, the automorphism induces a minimal homeomorphism of $X$, and a mild technical assumption holds. We use this construction to prove structural properties of the crossed product, such as (tracial) $Z$-stability, stable rank one, real rank zero, and pure infiniteness, in a number of examples. Our examples are not accessible via methods based on finite Rokhlin dimension, either because $D$ is not $Z$-stable or because $X$ is infinite dimensional.
