C*-algebras generalizing both relative Cuntz-Pimsner and Doplicher-Roberts algebras

Abstract

We introduce and analyse the structure of C*-algebras arising from ideals in right tensor C*-precategories, which naturally generalize both relative Cuntz-Pimsner and Doplicher-Roberts algebras. We establish an explicit intrinsic construction of the considered algebras and a number of key results such as structure theorem, gauge-invariant uniqueness theorem or description of the gauge-invariant ideal structure. In particular, these statements give a new insight into the corresponding results for relative Cuntz-Pimsner algebras and are applied to Doplicher-Roberts associated to C*-correspondences.

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• A construction of $C^{\ast }$-algebras from $C^{\ast }$-correspondences
• Adding tails to C*-correspondences
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• C*-algebras associated with reversible extensions of logistic maps

Cited by in corpus (1)

• Cuntz-Krieger uniqueness theorem for crossed products by Hilbert bimodules