Tsirelson's Problem and Asymptotically Commuting Unitary Matrices
Operator Algebras
2013-03-26 v2 Mathematical Physics
Functional Analysis
math.MP
Abstract
In this note, we consider quantum correlations of bipartite systems having a slight interaction, and reinterpret Tsirelson's problem (and hence Kirchberg's and Connes's conjectures) in terms of finite-dimensional asymptotically commuting positive operator valued measures. We also consider the systems of asymptotically commuting unitary matrices and formulate the Stronger Kirchberg Conjecture.
Cite
@article{arxiv.1211.2712,
title = {Tsirelson's Problem and Asymptotically Commuting Unitary Matrices},
author = {Narutaka Ozawa},
journal= {arXiv preprint arXiv:1211.2712},
year = {2013}
}
Comments
10 pages; Theorem referring Glimm's lemma removed, otherwise minor changes (v2)