scientific article

zbMath1172.46046MaRDI QIDQ3597314

Nigel Higson

Publication date: 9 February 2009

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

semisimple group\(C^*\)-algebra \(K\)-theorycomplex semisimple case

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (12)

The algebraic Mackey-Higson bijections ⋮ On the analogy between real reductive groups and Cartan motion groups: contraction of irreducible tempered representations ⋮ On the Connes-Kasparov isomorphism. II: The Vogan classification of essential components in the tempered dual. ⋮ Construction of representations of Poincaré group using Lie fields ⋮ Mackey analogy as deformation of \(\mathcal{D}\)-modules ⋮ Complex quantum groups and a deformation of the Baum–Connes assembly map ⋮ Algebraic families of groups and commuting involutions ⋮ The Mackey bijection for complex reductive groups and continuous fields of reduced group C*-algebras ⋮ Contractions of group representations via geometric quantization ⋮ Mackey analogy via 𝒟-modules for SL(2, ℝ) ⋮ On the analogy between real reductive groups and Cartan motion groups: a proof of the Connes-Kasparov isomorphism ⋮ Equivariant higher Dixmier-Douady theory for circle actions on UHF-algebras

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