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Bibliographic Details
Main Authors: Bassi, Jacopo, Conti, Roberto
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2505.16759
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Table of Contents:
  • The diadic $C^*$-algebra $\cQ_2$ contains canonically a copy of the Cuntz algebra $\cO_2$. It is shown that the inclusion $\cO_2 \subset \cQ_2$ is $C^*$-irreducible and rigid. It follows that the injective envelopes of these two $C^*$-algebras are $*$-isomorphic.