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- W4313679826 abstract "For each odd integer $n geq 3$, we construct a rank-3 graph $Lambda_n$ with involution $gamma_n$ whose real C*-algebra $C^*_mathbb{R}(Lambda_n, gamma_n)$ is stably isomorphic to the exotic Cuntz algebra $mathcal E_n^mathbb{R}$. This construction is optimal, as we prove that a rank-2 graph with involution $(Lambda,gamma)$ can never satisfy $C^*_mathbb{R}(Lambda, gamma)sim_{ME} mathcal E_n^mathbb{R}$, and the first author reached the same conclusion in previous work. Our construction relies on a rank-1 graph with involution $(Lambda, gamma)$ whose real C*-algebra $C^*_mathbb{R}(Lambda, gamma)$ is stably isomorphic to the suspension $ S mathbb{R}$. In the Appendix, we show that the i-fold suspension $S^i mathbb{R}$ is stably isomorphic to a graph algebra iff $-2 leq i leq 1$." @default.
- W4313679826 created "2023-01-08" @default.
- W4313679826 creator A5024299287 @default.
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- W4313679826 date "2023-01-05" @default.
- W4313679826 modified "2023-10-14" @default.
- W4313679826 title "The Stable Exotic Cuntz Algebras are Higher-Rank Graph Algebras" @default.
- W4313679826 doi "https://doi.org/10.48550/arxiv.2301.02233" @default.
- W4313679826 hasPublicationYear "2023" @default.
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