Spectral Symmetry in II_1 Factors

dc.creatorKim, Sang Hyun
dc.creatorNagy, Gabriel
dc.date2004-08-20
dc.date2004-09-06
dc.date.accessioned2026-07-07T05:11:25Z
dc.date.available2026-07-07T05:11:25Z
dc.descriptionA self-adjoint element in a finite AW*-factor is spectrally symmetric, if its spectral measure under the quasitrace is invariant under the change of variables $t\longmapsto -t$. We show that if $\mathcal{A}$ is an AW*-factor of type II_1, a self-djoint element in $\mathcal{A}$, without full support, has quasitrace zero, if and only if it can be written as a sum of at most three commuting spectrally symmetric elements.
dc.description38 pages, AMSLaTeX
dc.identifierhttps://arxiv.org/abs/math/0408275
dc.identifierhttp://arxiv.org/abs/math/0408275
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72236
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject47L30
dc.titleSpectral Symmetry in II_1 Factors
dc.typetext

Files

Collections