The spatial isomorphism problem for close separable nuclear C^*-algebras

Christensen, E., Sinclair, A.M., Smith, R.R., White, S.A. and Winter, W. (2010) The spatial isomorphism problem for close separable nuclear C^*-algebras. Proceedings of the National Academy of Sciences of the United States of America, 107(2), pp. 587-591. (doi: 10.1073/pnas.0913281107)

Abstract

The Kadison–Kastler problem asks whether close C^*-algebras on a Hilbert space must be spatially isomorphic. We establish this when one of the algebras is separable and nuclear. We also apply our methods to the study of near inclusions of C^*-algebras.

• 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: Proceedings of the National Academy of Sciences of the United States of America
• Journal Abbr.: PNAS
• ISSN: 0027-8424
• ISSN (Online): 1091-6490
• Published Online: 18 December 2009