On the left regular representation of a separable locally compact group

DOI10.1016/0022-1236(81)90023-9zbMath0474.22003OpenAlexW1986538061MaRDI QIDQ1159293

Niels Vigand Pedersen

Publication date: 1981

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(81)90023-9

zbMATH Keywords

left regular representationPlancherel theoremBorel subsetseparable locally compact groupchi-normal representationschi-semitraceMackey Borel structurespace of normal representations

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Unitary representations of locally compact groups (22D10) Decomposition theory for (C^*)-algebras (46L45) Character groups and dual objects (43A40)

Related Items (1)

Duality for crossed products of von Neumann algebras

Cites Work

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• Plancherel formula for non-unimodular locally compact groups
• Caractères des algèbres de Banach involutives
• Induced representation of locally compact groups. I
• On Certain Kms-Weights on C^* -Crossed Products
• A Decomposition Theory for Representations of C ∗ -Algebras
• Quasi-Equivalence Classes of Normal Representations for a Separable $C^\ast-Algebra
• Direct integral theory for weights, and the Plancherel formula
• Unitary representations of solvable Lie groups
• The plancherel formula for group extensions

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