论文标题
对于某些$ c^{\ ast} $ - 与组相关的代数的同位稳定等级
Homotopical Stable Ranks for Certain $C^{\ast}$-algebras Associated to Groups
论文作者
论文摘要
我们研究$ c^{\ ast} $ - 代数的一般和连接的稳定排名。我们估计某些$ c(x)$ - 代数的这些等级,并使用它来对某些组$ c^{\ ast} $ - 代数来做同样的等级。此外,我们还通过有限的小组操作与Rokhlin属性给出了交叉产品$ c^{\ ast} $ - 代数的估计。
We study the general and connected stable ranks for $C^{\ast}$-algebras. We estimate these ranks for certain $C(X)$-algebras, and use that to do the same for certain group $C^{\ast}$-algebras. Furthermore, we also give estimates for the ranks of crossed product $C^{\ast}$-algebras by finite group actions with the Rokhlin property.