MAXIMAL COACTIONS

DOI10.1142/S0129167X04002107zbMath1052.46051arXivmath/0109137OpenAlexW3037723513MaRDI QIDQ4809770

Siegfried Echterhoff, S. Kaliszewski, John C. Quigg

Publication date: 30 August 2004

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0109137

zbMATH Keywords

\(C^*\)-algebradualitylocally compact groupcrossed productcoaction

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55)

Related Items (19)

Free actions of groups on separated graph 𝐶*-algebras ⋮ Crossed product of c*-algebras by hypergroups via group coactions ⋮ Extension problems and non-Abelian duality for C*-algebras ⋮ Weakly proper group actions, Mansfield’s Imprimitivity and twisted Landstad duality ⋮ Coaction functors. II ⋮ Coactions on \(C^*\)-algebras and universal properties ⋮ \(C^\ast \)-operator systems and crossed products ⋮ Deformations of Fell bundles and twisted graph algebras ⋮ DUALITIES FOR MAXIMAL COACTIONS ⋮ Covariant representations of Hecke algebras and imprimitivity for crossed products by homogeneous spaces ⋮ Proper actions, fixed-point algebras and naturality in nonabelian duality ⋮ Induction in stages for crossed products of \(C^{*}\)-algebras by maximal coactions ⋮ Mansfield’s imprimitivity theorem for full crossed products ⋮ Coverings of \(k\)-graphs ⋮ Maximality of dual coactions on sectional $C^{*}$-algebras of Fell bundles and applications ⋮ Exotic Coactions ⋮ A new approach to induction and imprimitivity results ⋮ FELL BUNDLES AND IMPRIMITIVITY THEOREMS: MANSFIELD’S AND FELL’S THEOREMS ⋮ TENSOR-PRODUCT COACTION FUNCTORS

Cites Work

• Morita equivalence of twisted crossed products by coactions
• \(C^*\)-algèbres de Hopf et théorie de Kasparov équivariante. (Hopf \(C^*\)-algebras and equivariant Kasparov theory)
• Takesaki's duality for a non-degenerate co-action.
• Duality for full crossed products of 𝐶*-algebras by non-amenable groups
• Induced Coactions of Discrete Groups on C^*-Algebras
• Full and reduced C*-coactions
• Duality of restriction and induction for 𝐶*-coactions
• Imprimitivity for C*-coactions of non-amenable groups
• Full duality for coactions of discrete groups
• Multipliers of Imprimitivity Bimodules and Morita Equivalence of Crossed Products.
• Morita equivalence of \(C^*\)-crossed products by inverse semigroup actions and partial actions

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