We show that Tsirelson's problem concerning the set of quantum correlations and Connes'
embedding problem on finite approximations in von Neumann algebras (known to be …

ABOUT THE QWEP CONJECTURE Page 1 June 28, 2004 12:6 WSPC/133-IJM 00241
International Journal of Mathematics Vol. 15, No. 5 (2004) 501–530 c© World Scientific …

Analogy is one of the most effective techniques of human reasoning: When we face new
problems, we compare them with simpler and already known ones, in the attempt to use …

We show that Connes' embedding problem for II_1-factors is equivalent to a statement about
distributions of sums of self-adjoint operators with matrix coefficients. This is an application …

We investigate certain matrices composed of mixed, second-order moments of unitaries. The
unitaries are taken from C*-algebras with moments taken with respect to traces, or …

We prove a non-commutative version of the Hilbert's 17th problem, giving a characterization
of the class of non-commutative polynomials in n-undeterminates that have positive trace …

This work addresses the Blackadar–Kirchberg Question (BKQ) as it pertains to group and
reduced crossed product C⁎-algebras. The BKQ asks if every stably finite C⁎-algebra …

For a separable unital C⁎-algebra A and a separable McDuff II 1-factor M, we show that the
space H om w (A, M) of weak approximate unitary equivalence classes of unital⁎ …

In a very celebrated paper A. Connes has formulated a conjecture which is now one of the
most important open problem in Operator Algebras. This importance comes from the works …

We extend recent work of the first named author, constructing a natural Hom semigroup
associated to any pair of II1-factors. This semigroup always satisfies cancelation, hence …