On the support of the conjugation representation for solvable locally compact groups

DOI10.1515/FORM.1994.6.431zbMath0806.22003OpenAlexW2032983297MaRDI QIDQ4302247

Annette Markfort

Publication date: 14 August 1994

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/141747

zbMATH Keywords

tensor productssemidirect productslocally compact groupirreducible representationsmodular functionregular representationamenable groupscortexinner invariant meansconjugation representationleft Haar measureweakly equivalentweakly containednilpotent simply connected Lie groupssupport of the conjugation representation

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Measures on groups and semigroups, etc. (43A05) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Means on groups, semigroups, etc.; amenable groups (43A07) Character groups and dual objects (43A40)

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