Topology on the unitary dual of completely solvable Lie groups

DOI10.1515/APAM-2015-5011zbMath1381.22004OpenAlexW2565550561WikidataQ115236967 ScholiaQ115236967MaRDI QIDQ887655

Detlev Poguntke

Publication date: 27 October 2015

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam-2015-5011

zbMATH Keywords

irreducible unitary representationsorbit method\(C^{*}\)-algebrasunitary dualexponential Lie groupsKirillov conjecturepositive functionalsvariable groups

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30) Lie algebras of Lie groups (22E60) Nilpotent and solvable Lie groups (22E25) Positive definite functions on groups, semigroups, etc. (43A35) (L^1)-algebras on groups, semigroups, etc. (43A20)

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