Induced C *-algebras and a symmetric imprimitivity theorem

DOI10.1007/BF01456331zbMath0617.22009OpenAlexW1980365299MaRDI QIDQ1821882

Iain Raeburn

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164369

zbMATH Keywords

Morita equivalenceslocally compact grouptransformation groupC *-algebrasinduced C *-algebrassymmetric imprimitivity theorem

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Induced representations for locally compact groups (22D30)

Related Items (18)

SYMMETRIC IMPRIMITIVITY THEOREMS FOR GRAPH C*-ALGEBRAS ⋮ On Induced Covariant Systems ⋮ Proper actions on imprimitivity bimodules and decompositions of Morita equivalences ⋮ Naturality of Rieffel's Morita equivalence for proper actions ⋮ Duality of restriction and induction for 𝐶*-coactions ⋮ The equivariant Brauer groups of commuting free and proper actions are isomorphic ⋮ Induction in stages for crossed products of \(C^{*}\)-algebras by maximal coactions ⋮ The Brauer semigroup of a groupoid and a symmetric imprimitivity theorem ⋮ Structure of crossed products by strictly proper actions on continuous-trace algebras ⋮ Imprimitivity theorems for weakly proper actions of locally compact groups ⋮ Morita Equivalence of Twisted Crossed Products ⋮ Fixed-point algebras for weakly proper Fell bundles ⋮ An elementary Green imprimitivity theorem for inverse semigroups ⋮ Crossed products by actions which are locally unitary on the stabilisers ⋮ Crossed products by \(C_0(X)\)-actions ⋮ Twisted crossed products of \(C^*\)-algebras. II ⋮ Naturality of symmetric imprimitivity theorems ⋮ An equivariant Brauer semigroup and the symmetric imprimitivity theorem

Cites Work

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• The local structure of twisted covariance algebras
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• Induced representations of C\(^*\)-algebras
• Crossed Products of Continuous-Trace C ∗ -Algebras by Smooth Actions
• Pull-Backs of C ∗ -Algebras and Crossed Products by Certain Diagonal Actions
• On the Picard Group of a Continuous Trace C ∗ -Algebra
• Type II Representations of Inseparable C^* -Algebras
• Cross Products of Strongly Morita Equivalent C ∗ -Algebras

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