POSITIVE ENERGY REPRESENTATIONS AND CONTINUITY OF PROJECTIVE REPRESENTATIONS FOR GENERAL TOPOLOGICAL GROUPS

DOI10.1017/S0017089513000268zbMath1310.22018arXiv1208.2511OpenAlexW2963010796MaRDI QIDQ5415954

Karl-Hermann Neeb

Publication date: 19 May 2014

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2511

zbMATH Keywords

continuityunitary representationextensionrestrictionsemidirect productirreducibilityprojective representationprojective unitary grouppositive energy representation

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Analysis on and representations of infinite-dimensional Lie groups (22E66)

Related Items (3)

Ground state representations of topological groups ⋮ Covariant representations for possibly singular actions on $C^*$-algebras ⋮ Projective unitary representations of infinite-dimensional Lie groups

Cites Work

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• Oscillator algebras with semi-equicontinuous coadjoint orbits
• C*-algebras and automorphism groups
• Lie group structures on groups of smooth and holomorphic maps on non-compact manifolds
• Towards a Lie theory of locally convex groups
• On the implementability of automorphism groups
• Schur-Weyl Theory for C *-algebras
• Translation Group and Particle Representations in Quantum Field Theory

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