Produit croisé d'une algèbre de Kac par un groupe localement compact

DOI10.24033/bsmf.1901zbMath0426.46043OpenAlexW2585244795MaRDI QIDQ3861963

Jean De Cannière

Publication date: 1979

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1979__107__337_0

zbMATH Keywords

Hopf algebraslocally compact groupinvolutive Banach algebracrossed productsmash productleft regular representationPontryagin dualityKac algebraHaar weightcoalgebraic structurecosmash productnon- commutative integral

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Free probability and free operator algebras (46L54) (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) Character groups and dual objects (43A40)

Related Items (2)

Extensions of locally compact quantum groups and the bicrossed product construction. ⋮ Hopf-von Neumann algebra bicrossproducts, Kac algebra bicrossproducts, and the classical Yang-Baxter equations

Cites Work

• Duality for crossed products and the structure of von Neumann algebras of type III
• Sur la structure des algèbres de Kac. I. (On the structure of Kac algebras. I.)
• Produit croise d'une algebre de von Neumann par une algebre de Kac
• A new approach to the Tomita-Takesaki theory of generalized Hilbert algebras
• Poids sur une \(C^ *\)-algèbre
• The Radon-Nikodym theorem for von Neumann algebras
• On the Intrinsic Group of a Kac Algebra
• The standard form of von Neumann algebras.
• The left Hilbert algebra associated to a semi-direct product
• Duality Theory for Covariant Systems
• A generalized commutation relation for the regular representation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Produit croisé d'une algèbre de Kac par un groupe localement compact