Correspondences between graph C$^*$-algebras

We describe proper correspondences from graph C$^*$-algebras to arbitrary C$^*$-algebras by K-theoretic data. If the target C$^*$-algebra is a graph C$^*$-algebra as well, we may lift an isomorphism on a certain invariant to correspondences back and forth

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Publication Details

Journal
Studia Mathematica
Published
2025-01-01
DOI
https://doi.org/10.4064/sm240409-27-8
Primary Topic
Advanced Operator Algebra Research
Type
article
Field-Weighted Citation Impact
0.00

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article

Correspondences between graph C$^*$-algebras

Ralf Meyer, Rasmus Bentmann
Studia Mathematica
Advanced Operator Algebra Research
article

Correspondences between graph C$^*$-algebras

Ralf Meyer, Rasmus Bentmann
article en

Abstract

We describe proper correspondences from graph C$^*$-algebras to arbitrary C$^*$-algebras by K-theoretic data. If the target C$^*$-algebra is a graph C$^*$-algebra as well, we may lift an isomorphism on a certain invariant to correspondences back and forth

Studia MathematicaVol. 280(2)
University of Göttingen (DE)
Deutsche Forschungsgemeinschaft
Openalex Percentile: Top 97%
Advanced Operator Algebra Research
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Correspondences between graph C$^*$-algebras — Ralf Meyer, Rasmus Bentmann · Studia Mathematica (2025) | TGRS Research Map | TGRS