On the Connes-Kasparov isomorphism. II: The Vogan classification of essential components in the tempered dual.
DOI10.1007/s11537-024-2221-1arXiv2202.02857OpenAlexW4392741689MaRDI QIDQ6204174
Pierre Clare, Yanli Song, Nigel Higson
Publication date: 27 March 2024
Published in: Japanese Journal of Mathematics. 3rd Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.02857
\(K\)-theorylowest \(K\)-typereal reductive grouptempered dualConnes-Kasparov isomorphismreduced \(\mathrm{C}^*\)-algebra
(K)-theory and operator algebras (including cyclic theory) (46L80) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)
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