AMENABLE ABSORPTION IN AMALGAMATED FREE PRODUCT VON NEUMANN ALGEBRAS
Language
en
Article de revue
This item was published in
Kyoto Journal of Mathematics. 2018
Duke University Press
English Abstract
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 ...Read more >
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.Read less <
Origin
Hal imported