On the computation of spectra in free probability
Operator Algebras
2007-05-23 v1
Abstract
We use free probability techniques to compute borders of spectra of non hermitian operators in finite von Neumann algebras which arise as `free sums' of `simple' operators. To this end, the resolvent is analyzed with the aid of the Haagerup inequality. Concrete examples coming from reduced C*-algebras of free product groups and leading to systems of polynomial equations illustrate the approach.
Keywords
Cite
@article{arxiv.math/0008084,
title = {On the computation of spectra in free probability},
author = {Franz Lehner},
journal= {arXiv preprint arXiv:math/0008084},
year = {2007}
}
Comments
LaTeX2e, 15 pages, 3 figures