On the Intrinsic Group of a Kac Algebra

DOI10.1112/PLMS/S3-40.1.1zbMath0436.46048OpenAlexW2148793540MaRDI QIDQ3876495

Jean De Cannière

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1112/plms/s3-40.1.1

zbMATH Keywords

crossed productcomultiplicationintrinsic groupaction of a locally compact groupcoinvolutiondual Kac algebrafaithful normal semi- finite weight

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Duality theorems for locally compact groups (22D35) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (7)

Galois groups of quantum group actions and regularity of fixed-point algebras ⋮ Duality of algebras with an involution and generalized shift operators ⋮ Canonical extension of actions of locally compact quantum groups. ⋮ Translations in quantum groups ⋮ Duality for crossed products of von Neumann algebras ⋮ Produit croisé d'une algèbre de Kac par un groupe localement compact ⋮ Description of the automorphism group \(\text{Aut}({\mathcal A}/{\mathcal A}^\alpha)\) for a minimal action of a compact Kac algebra and its application

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