Duals of orbit spaces in groups with relatively compact inner automorphism groups are hypergroups

DOI10.1007/BF01295237zbMath0416.22008OpenAlexW1991475932MaRDI QIDQ754307

Klaus Hartmann, Rolf Wim Henrichs, Rupert Lasser

Publication date: 1979

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/177938

zbMATH Keywords

spectral theorytopological automorphismshypergroup characterslocally compact T2 group

Mathematics Subject Classification ID

Automorphism groups of locally compact groups (22D45) Duality theorems for locally compact groups (22D35) Topological and differentiable algebraic systems (22A99) Character groups and dual objects (43A40)

Related Items (14)

Hypergroups and hypergroup algebras ⋮ Configurations and invariant nets for amenable hypergroups and related algebras ⋮ Duality of algebras with an involution and generalized shift operators ⋮ \([\text{FIA}^-_B\) Gruppen und Hypergruppen] ⋮ Almost periodic functions on hypergroups ⋮ Subhypergroups and normal subgroups ⋮ Weak containment and tensor products of group representations ⋮ DUAL SPACE AND HYPERDIMENSION OF COMPACT HYPERGROUPS ⋮ On the Fourier transformation of positive, positive definite measures on commutative hypergroups, and dual convolution structures ⋮ Bochner theorems for hypergroups and their applications to orthogonal polynomial expansions ⋮ Radial Functions and Invariant Convolution Operators ⋮ Characterizing Moore groups by tensor products of irreducible representations ⋮ Weak containment and tensor products of group representations. II ⋮ Fourier algebra of a hypergroup. I

Cites Work

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• Zur harmonischen Analyse klassenkompakter Gruppen. II
• Harmonic Analysis and Centers of Group Algebras
• Centers of Hypergroups
• On Central Topological Groups
• Weak Containment and Induced Representations of Groups
• The L 1 - and C ∗ -Algebras of [ FIA - B Groups, and Their Representations]
• Compactness conditions in topological groups.
• The Measure Algebra of a Locally Compact Hypergroup
• Topologies on Spaces of Subsets
• Zur harmonischen Analyse klassenkompakter Gruppen

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