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On the classification problem for nuclear C*-algebras

算子代数 2007-05-23 v3 K理论与同调

摘要

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.

关键词

引用

@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}
}

备注

15 pages; minor revisions; version to appear in Ann. of Math. (2)