On the classification problem for nuclear C*-algebras
Operator Algebras
2007-05-23 v3 K-Theory and Homology
Abstract
We construct a simple, unital AH algebra which is shape equivalent to its tensor product with any infinite-dimensional UHF algebra, has the same tracial simplex as the said tensor product, and yet is not isomorphic to it. An analogous result for automorphisms is also proved.
Keywords
Cite
@article{arxiv.math/0509103,
title = {On the classification problem for nuclear C*-algebras},
author = {Andrew S. Toms},
journal= {arXiv preprint arXiv:math/0509103},
year = {2007}
}
Comments
15 pages; minor revisions; version to appear in Ann. of Math. (2)