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We compute the Hochschild homology and cohomology, and cyclic homology, ofalmost Calabi-Yau algebras for SU(3) ADE graphs. These almost Calabi-Yaualgebras are a higher rank analogue of the pre-projective algebras for Dynkindiagrams, which are SU(2)-related constructions. The Hochschild (co)homologyand cyclic homology of A can be regarded as invariants for the braidedsubfactors associated to the SU(3) modular invariants.

On the homology of almost Calabi-Yau algebras associated to SU(3) modular invariants