<i>L</i>¹-DETERMINED PRIMITIVE IDEALS IN THE <i>C</i>^∗-ALGEBRA OF AN EXPONENTIAL LIE GROUP WITH CLOSED NON-∗-REGULAR ORBITS

DOI10.2206/KYUSHUJM.74.127zbMath1456.43001OpenAlexW3043029808MaRDI QIDQ5119868

Junko Inoue, Jean Ludwig

Publication date: 1 September 2020

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

Full work available at URL: https://doi.org/10.2206/kyushujm.74.127

zbMATH Keywords

exponential Lie group\(C^\ast\)-algebraprimitive ideal

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Nilpotent and solvable Lie groups (22E25) (L^1)-algebras on groups, semigroups, etc. (43A20)

Cites Work

• *-regularity of exponential Lie groups
• Räume primitiver Ideale in Gruppenalgebren
• Unitary representation theory of exponential Lie groups
• Harmonic Analysis on Exponential Solvable Lie Groups
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Irreducible representations of exponential solvable Lie groups and operators with smooth kernels.
• Hull-minimal ideals in the Schwartz algebra of the Heisenberg group

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