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- W3174516913 abstract "The faithful irreducible $*$-representations of the $C^*$-algebra of the quantum symplectic sphere $S_q^{4n-1}, ngeq 2$, have been investigated by D'Andrea and Landi. They proved that the first $n-1$ generators are all zero inside $C^*(S_q^{4n-1})$, for $ngeq 2$. The result is a generalisation of the case where $n=2$, which was shown by Mikkelsen and Szymanski. We will show that $C^*(S_q^{4n-1}), ngeq 2$ is isomorphic to a graph $C^*$-algebra. From here it follows that $C^*(S_q^{4n-1})$ is isomorphic to the quantum $(2(n+1)-1)$-sphere by Vaksman and Soibelman." @default.
- W3174516913 created "2021-07-05" @default.
- W3174516913 creator A5070778406 @default.
- W3174516913 date "2021-06-27" @default.
- W3174516913 modified "2023-09-27" @default.
- W3174516913 title "The $C^*$-algebra of the quantum symplectic sphere" @default.
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