Amenable absorption in amalgamated free product von Neumann algebras
Operator Algebras
2019-01-09 v3
Abstract
We investigate the position of amenable subalgebras in arbitrary amalgamated free product von Neumann algebras . Our main result states that under natural analytic assumptions, any amenable subalgebra of that has a large intersection with is actually contained in . The proof does not rely on Popa's asymptotic orthogonality property but on the study of non normal conditional expectations.
Keywords
Cite
@article{arxiv.1606.00808,
title = {Amenable absorption in amalgamated free product von Neumann algebras},
author = {Rémi Boutonnet and Cyril Houdayer},
journal= {arXiv preprint arXiv:1606.00808},
year = {2019}
}
Comments
8 pages. To appear in Kyoto J. Math