On c*-algebras which detect nuclearity

A C*-algebra A is said to detect nuclearity if, whenever a C*-algebra B satisfies A circle times(mi)(n) B = A circle times(max) B, it follows that B is nuclear. In this note, we survey the main results associated with this topic and present the background and tools necessary for proving the main results. In particular, we show that the C*-algebra A = C* (F-infinity) circle times(min) B(l(2))/K(l(2)) detects nuclearity. This result is known to experts, but has never appeared in the literature.