AMENABLE ABSORPTION IN AMALGAMATED FREE PRODUCT VON NEUMANN ALGEBRAS
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en
Article de revue
Ce document a été publié dans
Kyoto Journal of Mathematics. 2018
Duke University Press
Résumé en anglais
We investigate the position of amenable subalgebras in arbitrary amalgamated free product von Neumann algebras M = M1 * B M2. Our main result states that under natural analytic assumptions, any amenable subalgebra of M ...Lire la suite >
We investigate the position of amenable subalgebras in arbitrary amalgamated free product von Neumann algebras M = M1 * B M2. Our main result states that under natural analytic assumptions, any amenable subalgebra of M that has a large intersection with M1 is actually contained in M1. The proof does not rely on Popa's asymptotic orthogonality property but on the study of non normal conditional expectations.< Réduire
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