title: The spatial isomorphism problem for close separable nuclear C*-algebras.
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.
authors.affiliation: Department of Mathematics, University of Copenhagen, Copenhagen, Denmark School of Mathematics, University of Edinburgh, Edinburgh EH9 3JZ, Scotland.
authors.forename: Erik
authors.initials: E
authors.lastname: Christensen
authors.forename: Allan M
authors.initials: AM
authors.lastname: Sinclair
authors.forename: Roger R
authors.initials: RR
authors.lastname: Smith
authors.forename: Stuart A
authors.initials: SA
authors.lastname: White
authors.forename: Wilhelm
authors.initials: W
authors.lastname: Winter
mesh_terms: D003210:Concept Formation; D057230:Limit of Detection; D008433:Mathematics; D008962:Models, Theoretical; D011340:Problem Solving; D015203:Reproducibility of Results