共变完全多正线性映射的共变投射表示  

Covariant Projective Representation for Covariant Completely Multi-Positive Linear Maps

作　　者：许天周[1] 

机构地区：[1]北京理工大学理学院数学系,北京100081

出　　处：《数学学报（中文版）》2008年第2期357-364,共8页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(10671013)

摘　　要：研究了C*-代数中的共变完全多正线性映射,证明了共变完全多正线性映射可以诱导Hilbert C*-模上的共变投射表示,并且给出了共变完全多正线性映射的KS- GNS(Kasparov,Stinespring,Gel’fand,Naimark,Segal)构造.The covariant completely multi-positive linear maps between C^＊-algebras are studied. We show that a covariant completely multi-positive linear map between C^＊-algebras induces a covariant projective representation of a C^＊-algebra on Hilbert C^＊-modules. An abstract covariant version of the KSGNS （Kasparov, Stinespring, Gel＇fand, Naimark, Segal） type construction for covariant completely multi-positive linear maps between C^＊-algebras is given.

关 键 词：共变完全多正线性映射 HILBERT C^＊-模表示 KSGNS型定理 

分 类 号：O177.5[理学—数学]