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- W2951803749 abstract "For a twisted partial action Theta of a group G on an (associative non-necessarily unital) algebra A over a commutative unital ring k, the crossed product A X_Theta G is proved to be associative. Given a G-graded k-algebra B = oplus_{gin G}B_g with the mild restriction of homogeneous non-degeneracy, a criteria is established for B to be isomorphic to the crossed product B_1 X_Theta G for some twisted partial action of G on B_1. The equality B_gB_{g^{-1}}B_g = B_g for all gin G is one of the ingredients of the criteria, and if it holds and, moreover, B has enough local units, then it is shown that B is stably isomorphic to a crossed product by a twisted partial action of G." @default.
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- W2951803749 date "2008-06-24" @default.
- W2951803749 modified "2023-10-16" @default.
- W2951803749 title "Crossed products by twisted partial actions and graded algebras" @default.
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- W2951803749 doi "https://doi.org/10.48550/arxiv.0806.3898" @default.
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