On the conjugation representation of a locally compact group

DOI10.1007/BF01215260zbMath0681.22005OpenAlexW2057780956MaRDI QIDQ1823327

Eberhard Kaniuth

Publication date: 1989

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174091

zbMATH Keywords

tensor productslocally compact groupirreducible representationsunitary operatorsmodular functionsupportcompact groupvector groupconjugation representationweakly equivalentreduced \(C^*\)- algebra

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (6)

Locally compact groups whose conjugation representations satisfy a Kazhdan type property or have countable support ⋮ Reidemeister classes and twisted inner representations. ⋮ Simply connected nilpotent Lie groups with quasi-standard $C^*$-algebras ⋮ Weak*-closedness of subspaces of Fourier-Stieltjes algebras and weak*-continuity of the restriction map ⋮ Amenability of Banach and C$^*$-algebras generated by unitary representations ⋮ On the comparison of norms of convolutors associated with noncommutative dynamics

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