| 共变完全多正线性映射的共变投射表示 |
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| 引用本文： | 许天周.共变完全多正线性映射的共变投射表示[J].数学学报,2008,51(2):357-364. |
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| 作者姓名： | 许天周 |
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| 作者单位： | 北京理工大学理学院数学系,北京100081 |
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| 基金项目： | 国家自然科学基金资助项目（10671013） |
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| 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.
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| 关 键 词： | 共变完全多正线性映射 Hilbert C*-模表示 KSGNS型定理 |
| 文章编号： | 0583-1431（2008）02-0357-08 |
| 收稿时间： | 2006-08-30 |
Covariant Projective Representation for Covariant Completely Multi-Positive Linear Maps |
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| Tian Zhou XU.Covariant Projective Representation for Covariant Completely Multi-Positive Linear Maps[J].Acta Mathematica Sinica,2008,51(2):357-364. |
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| Authors: | Tian Zhou XU |
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| Institution: | Tian Zhou XU Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, P. R. China |
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| Abstract: | 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. |
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| Keywords: | covariant completely multi-positive linear maps Hilbert C*-module representations KSGNS's type theorem |
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