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A measure theoretical
proof of the Connes-Woods theorem on AT-flows
Toshihiro Hamachi |
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Vol. 154 (1992), No. 1, 67–85
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Abstract |
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It was shown by A. Connes and J. Woods that every ITPFI factor of type III0 is characterized to be an AFD factor whose flow of weights is conservative, aperiodic, and approximately transitive (AT). In this paper, a measure theoretical proof of their result will be shown from the side of ergodic theory, without using modular theory. |
Mathematical Subject Classification 2000
Primary: 46L55
Secondary: 22D25, 28D99
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Milestones
Received: 20 November 1990
Revised: 18 June 1991
Published: 1 May 1992
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Authors |
| Toshihiro Hamachi | |
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