Ideal structure of C*-algebras associated with C*-correspondences

Takeshi Katsura

doi:10.2140/pjm.2007.230.107

Ideal structure of C-algebras associated with C-correspondences

Takeshi Katsura

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

47 Citations (Scopus)

Abstract

We study the ideal structure of C*-algebras arising from C*-correspondences. We prove that gauge-invariant ideals of our C*-algebras are parameterized by certain pairs of ideals of original C*-algebras. We show that our C*-algebras have a nice property that should be possessed by a generalization of crossed products. Applications to crossed products by Hilbert C*-bimodules and relative Cuntz-Pimsner algebras are also discussed.

Original language	English
Pages (from-to)	107-145
Number of pages	39
Journal	Pacific Journal of Mathematics
Volume	230
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2007.230.107
Publication status	Published - 2007
Externally published	Yes

Keywords

C*-algebra
C*-correspondence
Crossed products
Cuntz-Pimsner algebras
Hilbert module
Ideal structure

ASJC Scopus subject areas

General Mathematics

Access to Document

10.2140/pjm.2007.230.107

Cite this

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KW - Cuntz-Pimsner algebras

KW - Hilbert module

KW - Ideal structure

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