A prime C*-algebra that is not primitive
Operator Algebras
2007-05-23 v2 Functional Analysis
Rings and Algebras
Abstract
We construct a non-separable C*-algebra that is prime but not primitive.
Keywords
Cite
@article{arxiv.math/0106252,
title = {A prime C*-algebra that is not primitive},
author = {Nik Weaver},
journal= {arXiv preprint arXiv:math/0106252},
year = {2007}
}
Comments
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