The Laplacian Masa in a Free Group Factor

Details The Laplacian Masa in a Free Group Factor The Laplacian Masa in a Free Group Factor

2001-07-10

arxiv.org/abs/math/0107076v1

Mathematics

Operator Algebras

16 pages, latex file

Scientific paper

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.

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