Cuntz-pimsner algebras for subproduct systems

Ami Viselter

doi:10.1142/S0129167X12500814

Cuntz-pimsner algebras for subproduct systems

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

Abstract

In this paper we generalize the notion of Cuntz-Pimsner algebras of C*-correspondences to the setting of subproduct systems. The construction is justified in several ways, including the Morita equivalence of the operator algebras under suitable conditions and examples are provided to illustrate its naturality. We also demonstrate why some features of the Cuntz-Pimsner algebras of C*-correspondences fail to generalize to our setting, and discuss what we have instead.

Original language	English
Journal	International Journal of Mathematics
Volume	23
Issue number	8
DOIs	https://doi.org/10.1142/S0129167X12500814
State	Published - 2012
Externally published	Yes

Keywords

Cuntz-Pimsner algebra
Hilbert module
Morita equivalence
Subproduct system
Toeplitz algebra

ASJC Scopus subject areas

General Mathematics

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10.1142/S0129167X12500814

Cite this

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AB - In this paper we generalize the notion of Cuntz-Pimsner algebras of C*-correspondences to the setting of subproduct systems. The construction is justified in several ways, including the Morita equivalence of the operator algebras under suitable conditions and examples are provided to illustrate its naturality. We also demonstrate why some features of the Cuntz-Pimsner algebras of C*-correspondences fail to generalize to our setting, and discuss what we have instead.

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KW - Morita equivalence

KW - Subproduct system

KW - Toeplitz algebra

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Cuntz-pimsner algebras for subproduct systems

Abstract

Keywords

ASJC Scopus subject areas

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