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.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
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)
