Continuity of the Mackey-Higson bijection

DOI10.2140/pjm.2021.310.257zbMath1498.22012arXiv1901.00144OpenAlexW2906715103MaRDI QIDQ2658488

Alexandre Afgoustidis, Anne-Marie Aubert

Publication date: 23 March 2021

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

Full work available at URL: https://arxiv.org/abs/1901.00144

zbMATH Keywords

Fell topologyreal reductive groupsCartan motion grouptempered representationsMackey-Higson bijection

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (1)

The Mackey bijection for complex reductive groups and continuous fields of reduced group C*-algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Formules limites et formules asymptotiques pour les multiplicités dans \(L^ 2(G/\Gamma)\). (Limit formulas and asymptotic formulas for the multiplicities in \(L^ 2(G/\Gamma))\)
• The algebraic structure of the representation of semisimple Lie groups. I
• Reducibility of generalized principal series representations
• On the analogy between real reductive groups and Cartan motion groups: contraction of irreducible tempered representations
• On the analogy between real reductive groups and Cartan motion groups: a proof of the Connes-Kasparov isomorphism
• Non-unitary dual spaces of groups
• Parabolic induction and restriction via -algebras and Hilbert -modules
• Spherical Functions on Cartan Motion Groups
• Classification of irreducible tempered representations of semisimple Lie groups
• The Tempered Spectrum of a Real Semisimple Lie Group
• LA FORMULE DE PLANCHEREL POUR LES GROUPES p-ADIQUES. DAPRS HARISH-CHANDRA
• BRANCHING TO A MAXIMAL COMPACT SUBGROUP
• K-types for the tempered components of a p-adic general linear group (With an Appendix by P. Schneider, U. Stuhler: The definition of the tempered category)
• Contractions of Representations and Algebraic Families of Harish-Chandra Modules
• Algebraic Families of Harish-Chandra Pairs
• The Mackey bijection for complex reductive groups and continuous fields of reduced group C*-algebras
• The algebraic Mackey-Higson bijections
• A Description of the Topology on the Dual Spaces of Certain Locally Compact Groups
• Weak Containment and Induced Representations of Groups
• Lie groups beyond an introduction

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