[Updated on Apr. 18] Integration of CiNii Articles into CiNii Research

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

Search this article

Abstract

It is shown that for the inclusion of factors (BA):=(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

Citations (0)*help

See more

References(32)*help

See more

Related Articles

See more

Related Data

See more

Related Books

See more

Related Dissertations

See more

Related Projects

See more

Related Products

See more

Details

Report a problem

Back to top