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

Erik Christensen; Allan M. Sinclair; Roger R. Smith; Stuart A. White; Wilhelm Winter

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

Erik Christensen, Allan M. Sinclair, Roger R. Smith, Stuart A. White, Wilhelm Winter

Institut for Matematiske Fag

10 Citationer (Scopus)

Abstract

I 1972 indførte R. V. Kadison og D. Kastler et afstandsmål på mængden a C*-delalgebraer af algebraen af begrænsede operatorer på et Hilbertrum. De fremsatte den hypotese, at et par af tilstrækkeligt nært liggende C*-algebraer er isomorfe, dvs. ens med hensyn til alle algebraiske og metriske strukturer. I artiklen vise det, at hypotesen er sand inden for mængden af nukleære C*-algebraer.

Udgivelsesdato: January 12

Originalsprog	Engelsk
Tidsskrift	Proceedings of the National Academy of Science of the United States of America
Vol/bind	107
Udgave nummer	2
Sider (fra-til)	587 - 591
Antal sider	5
ISSN	0027-8424
Status	Udgivet - 2010

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Det Natur- og Biovidenskabelige Fakultet

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http://www.pnas.org/cgi/doi/10.1073/pnas.0913281107

Citationsformater

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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.",

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T1 - The spatial isomorphism problem for close separable nuclear C*-algebras

AU - Christensen, Erik

AU - Sinclair, Allan M.

AU - Smith, Roger R.

AU - White, Stuart A.

AU - Winter, Wilhelm

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - Faculty of Science

M3 - Journal article

SN - 0027-8424

VL - 107

SP - 587

EP - 591

JO - Proceedings of the National Academy of Science of the United States of America

JF - Proceedings of the National Academy of Science of the United States of America

IS - 2

ER -

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

Abstract

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