Normality for an inclusion of ergodic discrete measured equivalence relations in the von Neumann algebraic framework
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- YAMANOUCHI Takehiko
- Department of Mathematics, Faculty of Science. Hokkaido University
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Abstract
It is shown that for the inclusion of factors (B⊆A):=(W*(\\mathcal{S},ω)⊆W*(\\mathcal{R},ω)) corresponding to an inclusion of ergodic discrete measured equivalence relations \\mathcal{S}⊆\\mathcal{R}, \\mathcal{S} is normal in \\mathcal{R} in the sense of Feldman-Sutherland-Zimmer ([9]) if and only if A is generated by the normalizing groupoid of B. Though this fact has been already obtained in [3], we reprove it here by a quite different method.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 59 (4), 993-1009, 2007
The Mathematical Society of Japan
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Details
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- CRID
- 1390001205114416768
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- NII Article ID
- 10019989259
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL BIB ID
- 9304048
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
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- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed