On the computation of spectra in free probability

dc.creatorLehner, Franz
dc.date2000-08-11
dc.date.accessioned2026-07-25T22:51:36Z
dc.descriptionWe 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.
dc.descriptionLaTeX2e, 15 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0008084
dc.identifierhttp://arxiv.org/abs/math/0008084
dc.identifierJ. Funct. Anal. 183 (2001), no. 2, 451--471
dc.identifierdoi:10.1006/jfan.2001.3748
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/93194
dc.subjectOperator Algebras
dc.subject22D25, 46L54; 15A52, 43A05, 60J15
dc.titleOn the computation of spectra in free probability
dc.typetext

Files

Collections