EPSILON-STRONGLY GROUPOID-GRADED RINGS, THE PICARD INVERSE CATEGORY AND COHOMOLOGY

@article{Nystedt2019EPSILONSTRONGLYGR,
  title={EPSILON-STRONGLY GROUPOID-GRADED RINGS, THE PICARD INVERSE CATEGORY AND COHOMOLOGY},
  author={Patrik Nystedt and Johan {\"O}inert and Hector Pinedo},
  journal={Glasgow Mathematical Journal},
  year={2019},
  volume={62},
  pages={233 - 259}
}
Abstract We introduce the class of partially invertible modules and show that it is an inverse category which we call the Picard inverse category. We use this category to generalize the classical construction of crossed products to, what we call, generalized epsilon-crossed products and show that these coincide with the class of epsilon-strongly groupoid-graded rings. We then use generalized epsilon-crossed groupoid products to obtain a generalization, from the group-graded situation to the… Expand
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