Equivalences induced by graded bimodules |
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| Authors: | Andrei Marcus |
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| Institution: | Babe?-Bolyai University Faculty of Mathematics and Computer Science , Str. Mihail Kogalniceanu nr. 1, Cluj-Napoca, RO-3400, Romania |
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| Abstract: | Let k be a commutative ringG a finite groupR and S fully G-graded k-algebras. In this paper we investigate Morita equivalences, derived equivalences and stable equivalences of Morita type between R and S, which are induced by G-graded R, 5-bimodules or complexes of G-graded bimodules. Such equivalences occur naturally in the case of group algebras in certain reduction steps for Broue's conjecture, and we show how they can be lifted from equivalences between R 1 and S 1. |
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