Extremal marginal tracial states in coupled systems
算子代数
2007-05-23 v1
摘要
Let \Gamma be 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 \Gamma. We also give a characterization of those extreme points in \Gamma which are pure states. We conjecture that all extremal marginal tracial states are pure states.
引用
@article{arxiv.math/0607175,
title = {Extremal marginal tracial states in coupled systems},
author = {Geoffrey L. Price and Shoichuro Sakai},
journal= {arXiv preprint arXiv:math/0607175},
year = {2007}
}
备注
12 pages