264 research outputs found
Twisted partial actions of Hopf algebras
In this work, the notion of a twisted partial Hopf action is introduced as a
unified approach for twisted partial group actions, partial Hopf actions and
twisted actions of Hopf algebras. The conditions on partial cocycles are
established in order to construct partial crossed products, which are also
related to partially cleft extensions of algebras. Examples are elaborated
using algebraic groups
Partial actions, crossed products and partial representations
We give a survey of algebraic results on partial representations of groups, partial actions and related concepts
Globalization of twisted partial actions
Let A be a unital ring which is a product of possibly infinitely many
indecomposable rings. We establish criteria for the existence of a
globalization for a given twisted partial action of a group on A. If the
globalization exists, it is unique up to a certain equivalence relation and,
moreover, the crossed product corresponding to the twisted partial action is
Morita equivalent to that corresponding to its globalization. For arbitrary
unital rings the globalization problem is reduced to an extendibility property
of the multipliers involved in the twisted partial action.Comment: 27 pages. To appear in Trans. Amer. Math. Soc
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