Maximal amenability and disjointness for the radial masa

Abstract

We prove that the radial masa C in the free group factor is disjoint from other maximal amenable subalgebras in the following sense: any distinct maximal amenable subalgebra cannot have diffuse intersection with C.

Updated version. 16 pages. To appear in Journal of Functional Analysis

References in corpus (3)

• On a Class of Type II${}_1$ Factors with Betti Numbers Invariants
• A class of $\mathrm{I}{\mathrm{I}}_1$ factors with an exotic abelian maximal amenable subalgebra
• Structure of $\mathrm{I}{\mathrm{I}}_1$ factors arising from free Bogoljubov actions of arbitrary groups