Tsirelson's Problem and Asymptotically Commuting Unitary Matrices
  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. 
Narutaka Ozawa
math.OA math-ph math.FA math.MP