Essential representations of C*-correspondences

Ilan Hirshberg

doi:10.1142/S0129167X05003065

Essential representations of C*-correspondences

Ilan Hirshberg

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

Let E be a C*-correspondence over a C*-algebra A with non-degenerate faithful left action. We show that E admits sufficiently many essential representations (i.e. representations ψ such that ψ(E)H̄ = H) to recover the Cuntz-Pimsner algebra Ο_E.

Original language	English
Pages (from-to)	765-775
Number of pages	11
Journal	International Journal of Mathematics
Volume	16
Issue number	7
DOIs	https://doi.org/10.1142/S0129167X05003065
State	Published - 1 Aug 2005

Keywords

C*-correspondence
Hubert modules
Pimsner algebras

ASJC Scopus subject areas

General Mathematics

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10.1142/S0129167X05003065

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title = "Essential representations of C*-correspondences",

abstract = "Let E be a C*-correspondence over a C*-algebra A with non-degenerate faithful left action. We show that E admits sufficiently many essential representations (i.e. representations ψ such that ψ(E){\=H} = H) to recover the Cuntz-Pimsner algebra ΟE.",

keywords = "C*-correspondence, Hubert modules, Pimsner algebras",

author = "Ilan Hirshberg",

year = "2005",

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AU - Hirshberg, Ilan

PY - 2005/8/1

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N2 - Let E be a C*-correspondence over a C*-algebra A with non-degenerate faithful left action. We show that E admits sufficiently many essential representations (i.e. representations ψ such that ψ(E)H̄ = H) to recover the Cuntz-Pimsner algebra ΟE.

AB - Let E be a C*-correspondence over a C*-algebra A with non-degenerate faithful left action. We show that E admits sufficiently many essential representations (i.e. representations ψ such that ψ(E)H̄ = H) to recover the Cuntz-Pimsner algebra ΟE.

KW - C-correspondence

KW - Hubert modules

KW - Pimsner algebras

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U2 - 10.1142/S0129167X05003065

DO - 10.1142/S0129167X05003065

M3 - Article

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VL - 16

SP - 765

EP - 775

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 7

ER -

Essential representations of C*-correspondences

Abstract

Keywords

ASJC Scopus subject areas

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