English

Strong classification of extensions of classifiable C*-algebras

Operator Algebras 2013-02-01 v1

Abstract

We show that certain extensions of classifiable C*-algebra are strongly classified by the associated six-term exact sequence in K-theory together with the positive cone of K_{0}-groups of the ideal and quotient. We apply our result to give a complete classification of graph C*-algebras with exactly one ideal.

Keywords

Cite

@article{arxiv.1301.7695,
  title  = {Strong classification of extensions of classifiable C*-algebras},
  author = {Soren Eilers and Gunnar Restorff and Efren Ruiz},
  journal= {arXiv preprint arXiv:1301.7695},
  year   = {2013}
}

Comments

29 pages