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Flows Associated with Ergodic Non-Singular Transformation Groups
Author(s) -
Toshihiro Hamachi,
Yukimasa Oka,
Motosige Osikawa
Publication year - 1975
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1195191686
Subject(s) - ergodic theory , mathematics , invariant (physics) , pure mathematics , tomita–takesaki theory , invariant measure , stationary ergodic process , transformation group , von neumann algebra , automorphism , ergodicity , morita equivalence , equivalence (formal languages) , transformation (genetics) , algebra over a field , von neumann architecture , mathematical physics , biochemistry , chemistry , current algebra , statistics , jordan algebra , gene
In this paper we shall give a nice invariant for the weak equivalence of ergodic non-singular transformation groups. It is a one-parameter ergodic non-singular flow associated with an ergodic non-singular transformation group. Since in 1960 an example of an ergodic non-singular transformation without

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