Enveloping Actions for Partial Hopf Actions

DOI10.1080/00927870903095582zbMath1226.16022arXiv0805.4805OpenAlexW1992258582MaRDI QIDQ3162824

Marcelo Muniz Silva Alves, Eliezer Batista

Publication date: 22 October 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.4805

zbMATH Keywords

Hopf algebrassmash productspartial actionspartial Hopf actionspartial coactionspartial representations

Mathematics Subject Classification ID

Twisted and skew group rings, crossed products (16S35) Smash products of general Hopf actions (16S40) Hopf algebras and their applications (16T05)

Related Items (29)

Partial actions of weak Hopf algebras on coalgebras ⋮ Globalization for geometric partial comodules ⋮ Partial Hopf module categories. ⋮ GLOBALIZATION OF TWISTED PARTIAL HOPF ACTIONS ⋮ Enveloping actions and duality theorems for partial twisted smash products ⋮ Morita, Galois, and the trace map: a survey ⋮ Partial corepresentations of Hopf algebras ⋮ Twisted partial actions of Hopf algebras. ⋮ Cohomology for partial actions of Hopf algebras ⋮ Dual constructions for partial actions of Hopf algebras. ⋮ Globalization of partial group actions on semiprime Lie algebras and unital Jordan algebras ⋮ Geometric partial comodules over flat coalgebras in abelian categories are globalizable ⋮ Partial actions of a Hopf algebra on its base field and the corresponding partial smash product algebra ⋮ Twisted partial coactions of Hopf algebras ⋮ Partial actions of weak Hopf algebras: smash product, globalization and Morita theory. ⋮ Partial (Co)actions of multiplier Hopf algebras: Morita and Galois theories ⋮ Recent developments around partial actions ⋮ Partial representations of Hopf algebras ⋮ Cleft coextension for symmetric twisted partial coactions on coalgebras ⋮ Partial Actions on Categories ⋮ Morita equivalence of partial group actions and globalization ⋮ Partial actions of \(C^{*}\)-quantum groups ⋮ Globalizations for partial (co)actions on coalgebras ⋮ Multiplier Hopf algebras: Globalization for partial actions ⋮ Globalization of partial cohomology of groups ⋮ Description of partial actions ⋮ Dilations of partial representations of Hopf algebras ⋮ On generalized partial twisted smash products ⋮ Partial (co)actions of Taft and Nichols Hopf algebras on their base fields

Cites Work

• Unnamed Item
• Partial actions and Galois theory
• Partial actions and partial skew group rings.
• Circle actions on \(C^*\)-algebras, partial automorphisms, and a generalized Pimsner-Voiculescu exact sequence
• On finite degree partial representations of groups.
• Enveloping actions and Takai duality for partial actions.
• Partial (Co)Actions of Hopf Algebras and Partial Hopf-Galois Theory
• Partial actions of groups and actions of inverse semigroups
• Associativity of crossed products by partial actions, enveloping actions and partial representations

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