Adding tails to C∗-correspondences

Paul S. Muhly; Mark Tomforde

doi:10.4171/dm/158

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Journal article

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Adding tails to C∗-correspondences

Paul S. Muhly and Mark Tomforde

Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung, Vol.9(1), pp.79-106

2004

DOI: 10.4171/dm/158

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Abstract

We describe a method of adding tails to C∗-correspondences which generalizes the process used in the study of graph C∗-algebras. We show how this technique can be used to extend results for augmented Cuntz-Pimsner algebras to C∗-algebras associated to general C∗-correspondences, and as an application we prove a gauge-invariant uniqueness theorem for these algebras. We also define a notion of relative graph C∗-algebras and show that properties of these C∗-algebras can provide insight and motivation for results about relative Cuntz-Pimsner algebras.

Details

Title: Subtitle: Adding tails to C∗-correspondences
Creators: Paul S. Muhly
Mark Tomforde
Resource Type: Journal article
Publication Details: Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung, Vol.9(1), pp.79-106
DOI: 10.4171/dm/158
ISSN: 1431-0635
eISSN: 1431-0643
Language: English
Date published: 2004
Academic Unit: Statistics and Actuarial Science; Mathematics
Record Identifier: 9984397938902771

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