Notes on twisted equivariant K-theory for C*-algebras
Notes on twisted equivariant K-theory for C*-algebras
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关于 C* 代数的扭曲等变 K 理论的注释
DOI：
10.1142/s0129167x16500580
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发表时间：
2016
影响因子：
0.6
通讯作者：
Y. Kubota
中科院分区：
文献类型：
--
作者：
Y. Arano and Y. Kubota;Y. Kubota;Y. Arano and Y. Kubota;Y. Kubota
本文研究了在分级代数的Freed-Moore意义上的扭曲（群）等变k理论的推广。它是通过在扭曲表示的Hilbert模块上使用Fredholm算子来定义的。我们将其与另一种使用奇对称的描述进行比较，这是van Daele的k理论对分级Banach代数的推广。特别地，我们得到了当代数平凡分级时扭曲等变k群的一个简单表示。将其应用于具有ct型对称性的拓扑绝缘子的体边对应。
In this paper, we study a generalization of twisted (groupoid) equivariant K-theory in the sense of Freed–Moore for-graded-algebras. It is defined by using Fredholm operators on Hilbert modules with twisted representations. We compare it with another description using odd symmetries, which is a generalization of van Daele’s K-theory for-graded Banach algebras. In particular, we obtain a simple presentation of the twisted equivariant K-group when the-algebra is trivially graded. It is applied for the bulk-edge correspondence of topological insulators with CT-type symmetries.