Extremal marginal tracial states in coupled systems

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let Γbe the convex set consisting of all marginal tracial states on the tensor product B \otimes B of the algebra B of nxn matrices over the complex numbers. We find necessary and sufficient conditions for such a state to be extremal in Γ. We also give a characterization of those extreme points in Γwhich are pure states. We conjecture that all extremal marginal tracial states are pure states.
12 pages

Keywords

Operator Algebras, 46L30

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/114187

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607175
 http://arxiv.org/abs/math/0607175

Collections

arXiv