4 problems

Let a $C^*$-algebra have the weak expectation property (WEP) when it satisfies Kirchberg's WEP condition, and call a $C^*$-algebra QWEP if it is a quotient of a $C^*$-algebra with…

A unital C-algebra is residually finite-dimensional (RFD) if it has a separating family of finite-dimensional representations. Let $F_2$ denote the free group on two generators, an…

Let $(\mathcal M,\tau)$ be a tracial von Neumann algebra. Let $p_1(x),\ldots,p_m(x)$ be a finite collection of $*$-polynomials in the noncommuting variables $x=(x_1,\ldots,x_n)$, l…

Weak QWEP conjecture. There exists a non-nuclear $C^*$-algebra $A$ having both WEP and LLP.