A prime C*-algebra that is not primitive
arXiv:math/0106252
Abstract
We construct a non-separable C*-algebra that is prime but not primitive.
5 pages. The revised version of the paper gives a sharper version of the counterexample, in the sense that it is generated by a set of cardinality 2^{\aleph_0} rather than 2^{\aleph_1}. This allows for a less set-theoretically technical argument, although the proof of primality is slightly trickier