CLASSIFICATION OF INJECTIVE FACTORS
CLASSIFICATION OF INJECTIVE FACTORS
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发表时间：
1981
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通讯作者：
Theworkof Alain Connes
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作者：
Theworkof Alain Connes
A.详细讨论了确定大多数内射因子同构类的完备集的Connes。经过一些介绍性的评论，奠定了基础，随后的讨论，一个历史的调查的一些主线的分类因素，最终在康纳斯Takesakl结构理论的第三类因素。在讨论了有限因子的不可积性之后，导出了本文的主要结果-作为主要结果的推论，得到了第Ⅲ类注入因子。1980 AMS（MOS）子分类：初级46 L35，46 L10;次级46 L50，46 L05关键词和短语：jiVe yon Nann o.% gebra，fi facr，dcre
The fundamental results of A. Connes which determine a complete set of isomorphism classes for most injectlve factors are discussed in detail. After some introductory remarks which lay the foundation for the subsequent discussion, an historical survey of some of the principal lines of the investigation in the classification of factors is presented, culminating in the Connes-Takesakl structure theory of type III factors. After a discussion of inJectlvity for finite factors, the main result of the paper, the uniqueness of the injectlve II 1 factor, is deduced, and the structure of II. and type III injectlve factors is then obtained as corollaries of the main result. 1980 AMS (MOS) SUBJECT CLASSIFICATION: PRIMARY 46L35, 46LI0; SECONDARY- 46L50, 46L05 KEY WORI)S AND PHRASES: jiVe yon Nann o.%gebra, fi facr, dcre