On L1-kernels of unitary representations of semisimple Lie groups

DOI10.1017/S0305004100071024zbMath0767.43002OpenAlexW2080717003WikidataQ115336060 ScholiaQ115336060MaRDI QIDQ4035887

Jean Ludwig, Mohammed El Bachir Bekka

Publication date: 16 May 1993

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100071024

zbMATH Keywords

unitary representationlocally compact groupsemisimple real Lie groupleft translation invariant complement

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Means on groups, semigroups, etc.; amenable groups (43A07)

Cites Work

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• Complemented subspaces of \(L^{\infty}(G)\), ideals of \(L^ 1(G)\) and amenability
• The injection and the projection theorem for spectral sets
• Asymptotic properties of unitary representations
• Complemented *-primitive ideals in \(L^ 1\)-algebras of exponential Lie groups and of motion groups
• Central idempotent measures on connected locally compact groups
• Approximate Units in Finite Codimensional Ideals of Group Algebras
• On Projections of L ^∞ (G ) onto Translation-Invariant Subspaces
• Projections and Approximate Identities for Ideals in Group Algebras

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