2000/08/11 by Franz Lehner
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Random Matrices and Applications #math.OA #msc:15A52 #msc:22D25 #msc:43A05 #msc:46L54 #msc:60J15
paper · pdf · doi:10.1006/jfan.2001.3748
published as J. Funct. Anal. 183 (2001), no. 2, 451--471 · LaTeX2e, 15 pages, 3 figures
arxiv created 2000/08/11 · openalex publication_date 2001/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02
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.