Christensen, E., Sinclair, A.M., Smith, R.R., White, S.A. and Winter, W. (2012) Perturbations of nuclear C*-algebras. Acta Mathematica, 208(1), pp. 93-150. (doi: 10.1007/s11511-012-0075-5)
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Abstract
Kadison and Kastler introduced a natural metric on the collection of all C*-subalgebras of the bounded operators on a separable Hilbert space. They conjectured that sufficiently close algebras are unitarily conjugate. We establish this conjecture when one algebra is separable and nuclear. We also consider one-sided versions of these notions, and we obtain embeddings from certain near inclusions involving separable nuclear C*-algebras. At the end of the paper we demonstrate how our methods lead to improved characterisations of some of the types of algebras that are of current interest in the classification programme.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | White, Professor Stuart |
| Authors: | Christensen, E., Sinclair, A.M., Smith, R.R., White, S.A., and Winter, W. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Acta Mathematica |
| Publisher: | Springer |
| ISSN: | 0001-5962 |
| ISSN (Online): | 1871-2509 |
| Related URLs: |
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