The Laplacian Masa in a Free Group Factor
Operator Algebras
2007-05-23 v1
Abstract
The Laplacian (or radial) masa in a free group factor is generated by the sum of the generators and their inverses. We show that such a masa B is strongly singular and has Popa invariant delta(B) = 1. This is achieved by proving that the conditional expectation onto B is an asymptotic homomorphism. We also obtain similar results for the free product of discrete groups, each of which contains an element of infinite order.
Keywords
Cite
@article{arxiv.math/0107076,
title = {The Laplacian Masa in a Free Group Factor},
author = {Allan Sinclair and Roger Smith},
journal= {arXiv preprint arXiv:math/0107076},
year = {2007}
}
Comments
16 pages, latex file