Abstract
We compute the Hochschild homology and cohomology, and cyclic homology, of almost Calabi–Yau algebras for SU(3)ADE graphs. These almost Calabi–Yau algebras are a higher rank analogue of the preprojective algebras for Dynkin diagrams, which are SU(2)-related constructions. The Hochschild (co)homology and cyclic homology of A can be regarded as invariants for the braided subfactors associated to the SU(3) modular invariants.
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