Non-separable AF-algebras
Operator Algebras
2007-05-23 v1
Abstract
We give two pathological phenomena for non-separable AF-algebras which do not occur for separable AF-algebras. One is that non-separable AF-algebras are not determined by their Bratteli diagrams, and the other is that there exists a non-separable AF-algebra which is prime but not primitive.
Cite
@article{arxiv.math/0504423,
title = {Non-separable AF-algebras},
author = {Takeshi Katsura},
journal= {arXiv preprint arXiv:math/0504423},
year = {2007}
}
Comments
8 pages