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It was proved in an earlier paper by the author that the Hochschild cohomology algebras of self-injective algebras are invariant under stable equivalences of Morita type. In this note we show that the orbit algebra of a self-injective algebra A (considered as an A-A-bimodule) is also invariant under stable equivalences of Morita type, where the orbit algebra is the algebra of all stable A-A-bimodule morphisms from the non-negative Auslander-Reiten translations of A to A.

A new invariant of stable equivalences of Morita type