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

Christensen, Erik; Sinclair, Allan M; Smith, Roger R; White, Stuart A; Winter, Wilhelm · Proc Natl Acad Sci U S A · 2010

basic_science · Level V

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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.

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