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- W294755783 abstract "Given any symbol correspondence (W^{j} = W_{vec{c}}^{j}), the algebra of operators in (mathcal{B}(mathcal{H}_{j}) simeq M_{mathbb{C}}(n + 1)) can be imported to the space of symbols (W_{vec{c}}^{j}(mathcal{B}(mathcal{H}_{j})) simeq mathit{Poly}_{mathbb{C}}(S^{2})_{leq n} subset C_{mathbb{C}}^{infty }(S^{2})). The 2-sphere, with such an algebra on a subset of its function space, has become known as the “fuzzy sphere” [47]. However, there is no single “fuzzy sphere”, as each symbol correspondence defined by characteristic numbers (vec{c} = (c_{1},ldots,c_{n})) gives rise to a distinct (although isomorphic) algebra on the space of symbols (mathit{Poly}_{mathbb{C}}(S^{2})_{leq n}), as we shall investigate in some detail, in this chapter." @default.
- W294755783 created "2016-06-24" @default.
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- W294755783 date "2014-01-01" @default.
- W294755783 modified "2023-09-23" @default.
- W294755783 title "Multiplications of Symbols on the 2-Sphere" @default.
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- W294755783 doi "https://doi.org/10.1007/978-3-319-08198-4_7" @default.
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