The Nakayama automorphism of the almost Calabi-Yau algebras associated to \(\mathrm{SU}(3)\) modular invariants. (English) Zbl 1267.81275
Summary: We determine the Nakayama automorphism of the almost Calabi-Yau algebra \(A\) associated to the braided subfactors or Nimrep graphs associated to each \(SU(3)\) modular invariant. We use this to determine a resolution of \(A\) as an \(A\)-\(A\) bimodule, which will yield a projective resolution of \(A\).
MSC:
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 46L87 | Noncommutative differential geometry |
| 58D29 | Moduli problems for topological structures |
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