Strongly Singular Masas in Type $II_1$ Factors
Operator Algebras
2016-09-07 v1
Abstract
In this paper we introduce and study strongly singular maximal abelian self-adjoint subalgebras of type factors. We show that certain elements of free groups and of non-elementary hyperbolic groups generate such masas, and these also give new examples of masas for which Popa's invariant delta is 1. We also explore the connection between Popa's invariant and strong singularity.
Cite
@article{arxiv.math/0107075,
title = {Strongly Singular Masas in Type $II_1$ Factors},
author = {Allan Sinclair and Roger Smith},
journal= {arXiv preprint arXiv:math/0107075},
year = {2016}
}
Comments
22 pages, latex file, Geom. and Funct. Anal, to appear