Year: 2025
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Bassi, Jacopo, Conti, Roberto
Institutions: University of Rome Tor Vergata, Sapienza University of Rome
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4416452792
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