正常算子的谱与K-理论  

K-THEORY AND SPECTRA OF NORMAL OPERATORS

作　　者：安丰稳[1] 

机构地区：[1]武汉大学数学与统计学院,湖北武汉430072

出　　处：《数学杂志》2009年第5期627-634,共8页Journal of Mathematics

摘　　要：本文研究了算子代数的K-理论.利用代数拓扑方法,获得了复Hilbert空间上正常算子所生成算子代数的K-群与该算子谱几何性质的定性关系.The article discuss the K-theory of operator algebras. By means of algebraic topology, we obtain a further relationship between the K-groups of the operator algebra of a normal operator in a complex Hilbert space and its spectral set, which has some nice geometric property.

关 键 词：K-理论 算子代数 谱集 正常算子 

分 类 号：O154.3[理学—数学] O177.5[理学—基础数学]