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