ORBITAL FACTOR MAP

被引:11
作者
HAMACHI, T [1 ]
KOSAKI, H [1 ]
机构
[1] KYUSHU UNIV,COLL GEN EDUC,DEPT MATH,CHUO KU,FUKUOKA 810,JAPAN
关键词
D O I
10.1017/S0143385700007501
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For a certain pair of discrete measured ergodic equivalence relations, we specify how one is imbedded into the other and obtain a factor and its subfactor. For this pair of factors index theory is developed. We obtain an index formula, an 'extended' relation corresponding to the basic extension, and so on. Our formulas as well as construction are, very explicit and are given in terms of 'measure theoretic' data. We also present examples showing the contrast between type III0 index theory and type II1 (or III(lambda)) index theory.
引用
收藏
页码:515 / 532
页数:18
相关论文
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