THE Ext-FUNCTOR OF COMPLETELY BOUNDED BI-COMODULES, INJECTIVITY AND COHOMOLOGY

DOI10.1142/S0129167X07004308zbMath1127.46050OpenAlexW2087166934WikidataQ123097956 ScholiaQ123097956MaRDI QIDQ5295429

Chi-Keung Ng

Publication date: 30 July 2007

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x07004308

zbMATH Keywords

cohomologyExt-functorinjective objectHopf \(C^*\)-algebracompletely bounded bimodules

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Cites Work

• Algèbres de Kac moyennables. (Amenable Kac algebras)
• Homological coalgebra
• Amenability of Hopf von Neumann algebras and Kac algebras
• Cohomology of Hopf C^* -Algebras and Hopf Von Neumann Algebras
• Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres
• An example of amenable Kac systems
• Amenable representations and Reiter's property for Kac algebras

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