Translator Disclaimer
August 2008 A remark on the commensurability for inclusions of ergodic measured equivalence relations
Hisashi AOI
Hokkaido Math. J. 37(3): 545-560 (August 2008). DOI: 10.14492/hokmj/1253539535

Abstract

It is shown that, for each inclusion of ergodic discrete measured equivalence relations, the commensurability can be characterized in terms of measure theoretical arguments. As an application, we also include a measure theoretical proof concerning a property of the commensurability groupoid which determines the commensurability in terms of operator algebras. It is proven that a family of typical elements in the commensurability groupoid is closed under the product operation. This proof supplements a gap in the proof of [2, Lemma 7.5].

Citation

Download Citation

Hisashi AOI. "A remark on the commensurability for inclusions of ergodic measured equivalence relations." Hokkaido Math. J. 37 (3) 545 - 560, August 2008. https://doi.org/10.14492/hokmj/1253539535

Information

Published: August 2008
First available in Project Euclid: 21 September 2009

zbMATH: 1151.37006
MathSciNet: MR2441937
Digital Object Identifier: 10.14492/hokmj/1253539535

Subjects:
Primary: 37A20
Secondary: 46L10, 46L55

Rights: Copyright © 2008 Hokkaido University, Department of Mathematics

JOURNAL ARTICLE
16 PAGES


SHARE
Vol.37 • No. 3 • August 2008
Back to Top