K-theory for real C*-algebras via unitary elements with symmetries

被引：0

作者：

Boersema, Jeffrey L. ^{[1
]}

Loring, Terry A. ^{[2
]}

机构：

[1] Seattle Univ, Dept Math, Seattle, WA 98133 USA

[2] Univ New Mexico, Dept Math & Stat, Albuquerque, NM 87131 USA

来源：

NEW YORK JOURNAL OF MATHEMATICS | 2016年 / 22卷

关键词：

topological insulator; semiprojectivity; K-theory; E-theory; ten-fold way; TOPOLOGICAL QUANTUM-SYSTEMS; CLASSIFICATION; INSULATORS; MATRICES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that all eight K O groups for a real C*-algebra can be constructed from homotopy classes of unitary matrices that respect a variety of symmetries. In this manifestation of the K O groups, all eight boudary maps in the 24-term exact sequences associated to an ideal in a real C*-algebra can be computed as exponential or index maps with formulas that are nearly identical to the complex case.

引用

页码：1139 / 1220

页数：82

共 41 条

[1] Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures [J].