# On noncommutative equivariant bundles

@article{DAndrea2016OnNE, title={On noncommutative equivariant bundles}, author={Francesco D’Andrea and Alessandro De Paris}, journal={Communications in Algebra}, year={2016}, volume={47}, pages={5443 - 5461} }

Abstract We discuss a possible noncommutative generalization of the notion of an equivariant vector bundle. Let A be a -algebra, M a left A-module, H a Hopf -algebra, an algebra coaction, and let denote with the right A-module structure induced by δ. The usual definitions of equivariant vector bundle naturally lead, in the context of -algebras, to an -module homomorphismthat fulfills some appropriate conditions. On the other hand, sometimes an (A, H)-Hopf module is considered instead, for the…

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