Normality for an inclusion of ergodic discrete measured equivalence relations in the von Neumann algebraic framework

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概要

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• 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.

• 社団法人 日本数学会の論文
• 2007-10-01

著者

• Yamanouchi Takehiko

  Department Of Mathematics Faculty Of Science Hokkaido University

関連論文

• Hecke von Neumann Algebra of Ergodic Discrete Measured Equivalence Relations
• Double group construction of quantum groups in the von Neumann algebra framework
• Crossed Products by Groupoid Actions and Their Smooth Flows of Weights
• Normality for an inclusion of ergodic discrete measured equivalence relations in the von Neumann algebraic framework

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