Ext and OrderExt Classes of Certain Automorphisms of C*-Algebras Arising from Cantor Minimal Systems
Ext and OrderExt Classes of Certain Automorphisms of C*-Algebras Arising from Cantor Minimal Systems
复制标题
源自康托极小系统的 C* 代数的某些自同构的 Ext 和 OrderExt 类
DOI：
10.4153/cjm-2001-014-9
复制
发表时间：
2001
期刊：
影响因子：
--
通讯作者：
H. Matui
中科院分区：
文献类型：
--
作者：
H. Matui
Giordano，Putnam和Skau证明了由Cantor极小系产生的变换群${{C}^{*}}$ -代数是$AT$ -代数，并利用其$K$ -理论对其进行了分类.对于保持$C\left（X \right）$的近似内自同构，我们将确定它们在Ext和OrderExt群中的类，并为拓扑全群的闭包引入一个新的不变量。我们还将证明每个自同构的核到Ext群是同伦的内自同构，这推广了Kishimoto的结果。
Abstract Giordano, Putnam and Skau showed that the transformation group ${{C}^{*}}$ -algebra arising from a Cantor minimal system is an $AT$ -algebra, and classified it by its $K$ -theory. For approximately inner automorphisms that preserve $C\left( X \right)$ , we will determine their classes in the Ext and OrderExt groups, and introduce a new invariant for the closure of the topological full group. We will also prove that every automorphism in the kernel of the homomorphism into the Ext group is homotopic to an inner automorphism, which extends Kishimoto’s result.
影响因子：
1.7
作者：
A. Kishimoto
通讯作者：
A. Kishimoto