C*-algebras nearly contained in a type I C*-algebra

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

doi:10.4153/CJM-2012-001-1

C-algebras nearly contained in a type I C-algebra

Bidragets oversatte titel: C*-algebraer som er næsten indeholdt i en type I C*-algebra

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

Institut for Matematiske Fag

Abstract

Det vises, at en C*-algebra som er tilstrækkeligt tæt på at være indeholdt i en type I C*-algebra er af type I

Bidragets oversatte titel	C-algebraer som er næsten indeholdt i en type I C-algebra
Originalsprog	Engelsk
Tidsskrift	Canadian Journal of Mathematics
Vol/bind	65
Sider (fra-til)	52-65
Antal sider	14
ISSN	0008-414X
DOI	https://doi.org/10.4153/CJM-2012-001-1
Status	Udgivet - feb. 2013

Emneord

Det Natur- og Biovidenskabelige Fakultet
Matematik

Adgang til dokumentet

10.4153/CJM-2012-001-1

Citationsformater

@article{017c132fcea44ece850d11b5970f8d43,

title = "C*-algebras nearly contained in a type I C*-algebra",

abstract = "In this paper we consider near inclusions A ⊆7 B of C * -algebras. We show that if B is a separable type I C * -algebra and A satisfies Kadison's similarity problem, then A is also type I. We then use this to obtain an embedding of A into B.",

keywords = "Faculty of Science, Matematik",

author = "Erik Christensen and Sinclair, {Allan M.} and White, {Stuart A.} and Smith, {Roger R.}",

year = "2013",

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language = "English",

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journal = "Canadian Journal of Mathematics - Journal Canadien de Math{\'e}matiques",

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T1 - C*-algebras nearly contained in a type I C*-algebra

AU - Christensen, Erik

AU - Sinclair, Allan M.

AU - White, Stuart A.

AU - Smith, Roger R.

PY - 2013/2

Y1 - 2013/2

N2 - In this paper we consider near inclusions A ⊆7 B of C * -algebras. We show that if B is a separable type I C * -algebra and A satisfies Kadison's similarity problem, then A is also type I. We then use this to obtain an embedding of A into B.

AB - In this paper we consider near inclusions A ⊆7 B of C * -algebras. We show that if B is a separable type I C * -algebra and A satisfies Kadison's similarity problem, then A is also type I. We then use this to obtain an embedding of A into B.

KW - Faculty of Science

KW - Matematik

U2 - 10.4153/CJM-2012-001-1

DO - 10.4153/CJM-2012-001-1

M3 - Journal article

SN - 0008-414X

VL - 65

SP - 52

EP - 65

JO - Canadian Journal of Mathematics - Journal Canadien de Mathématiques

JF - Canadian Journal of Mathematics - Journal Canadien de Mathématiques

ER -