Maximal amenable MASAs of radial type in the free group factors
Operator Algebras
2023-02-28 v1
Abstract
We prove that if are tracial von Neumann algebras, are selfadjoint semicircular elements and is a square summable -tuple of real numbers with at least two non-zero entries, then the von Neumann algebra generated by the ``weighted radial element'' is maximal amenable in , with , unitary conjugate in iff are proportional. Letting be diffuse amenable, , this provides a large family of maximal amenable MASAs in the free group factor .
Keywords
Cite
@article{arxiv.2302.13355,
title = {Maximal amenable MASAs of radial type in the free group factors},
author = {Remi Boutonnet and Sorin Popa},
journal= {arXiv preprint arXiv:2302.13355},
year = {2023}
}
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6 pages