Measure-Multiplicity of the Laplacian masa

TL;DR

This paper investigates the structure of the Laplacian masa in free group factors, revealing that its associated orthocomplement decomposes into an infinite sum of coarse bimodules, advancing understanding of its bimodule properties.

Contribution

It demonstrates that the orthocomplement of the Jones' projection for the Laplacian masa decomposes into an infinite sum of coarse bimodules, providing new structural insights.

Findings

Orthocomplement decomposes into infinite sum of coarse bimodules

Advances understanding of Laplacian masa structure

Provides new bimodule decomposition results

Abstract

It is shown that for the Laplacian masa in the free group factors, the orthocomplement of the associated Jones' projection is an infinite direct sum of coarse bimodules.