Weakly proper group actions, Mansfield’s Imprimitivity and twisted Landstad duality

DOI10.1090/S0002-9947-2015-06406-XzbMath1405.46049arXiv1310.3934MaRDI QIDQ3448987

Siegfried Echterhoff, Alcides Buss

Publication date: 3 November 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.3934

zbMATH Keywords

exotic crossed productgeneralized fixed-point algebralandstad dualityMansfield imprimitivity theoremtwisted group coactionsweakly proper group action

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Duality theorems for locally compact groups (22D35)

Cites Work

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• Naturality of Rieffel's Morita equivalence for proper actions
• Proper actions, fixed-point algebras and naturality in nonabelian duality
• Induced representations of crossed products by coactions
• The local structure of twisted covariance algebras
• Integrable and proper actions on \(C^*\)-algebras, and square-integrable representations of groups
• Permanence properties of \(C^*\)-exact groups
• Fixed-point algebras for proper actions and crossed products by homogeneous spaces
• Exotic group C*-algebras in noncommutative duality
• Exotic Coactions
• Takesaki's duality for a non-degenerate co-action.
• Unconditional integrability for dual actions
• Lanstad Duality for $C^*$-Coactions.
• Morita Equivalent Twisted Actions and a New Version of the Packer-Raeburn Stabilization Trick
• Full and reduced C*-coactions
• Imprimitivity for C*-coactions of non-amenable groups
• Mansfield’s imprimitivity theorem for arbitrary closed subgroups
• Crossed Products by Dual Coactions of Groups and Homogeneous Spaces
• Mansfield’s imprimitivity theorem for full crossed products
• MAXIMAL COACTIONS
• Induced C ∗ -Algebras and Landstad Duality for Twisted Coactions
• Universal and exotic generalized fixed-point algebras for weakly proper actions and duality
• A categorical approach to imprimitivity theorems for 𝐶*-dynamical systems
• Imprimitivity theorems for weakly proper actions of locally compact groups
• Twisted equivariant \(KK\)-theory and the Baum-Connes conjecture for group extensions

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