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- W1988708167 abstract "The principal graph X of a subfactor with finite Jones index is one of the important algebraic invariants of the subfactor. If Δ is the adjacency matrix of X we consider the equation Δ = U + U −1. When X has square norm ≤ 4 the spectral measure of U can be averaged by using the map u→ u −1, and we get a probability measure $$varepsilon$$ on the unit circle which does not depend on U. We find explicit formulae for this measure $$varepsilon$$ for the principal graphs of subfactors with index ≤ 4, the (extended) Coxeter-Dynkin graphs of type A, D and E. The moment generating function of $$varepsilon$$ is closely related to Jones’ Θ-series." @default.
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- W1988708167 date "2006-09-29" @default.
- W1988708167 modified "2023-10-04" @default.
- W1988708167 title "Spectral Measures of Small Index Principal Graphs" @default.
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- W1988708167 doi "https://doi.org/10.1007/s00220-006-0122-1" @default.
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