C*-pseudo-multiplicative unitaries, Hopf C*-bimodules and their Fourier algebras

DOI10.1017/S1474748010000290zbMath1238.46053arXiv0908.1850MaRDI QIDQ3112414

Thomas Timmermann

Publication date: 9 January 2012

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.1850

zbMATH Keywords

dualitygroupoidquantum groupoid

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Hopf algebras, quantum groups and related topics (16T99)

Related Items (1)

Measured quantum groupoids associated to proper dynamical quantum groups

Cites Work

• The Fourier algebra of a measured groupoid and its multipliers
• Inclusions of von Neumann algebras, and quantum groupoïds
• Inclusions of von Neumann algebras and quantum groupoids. II
• Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
• Pseudo-multiplicative unitaries on \(C^*\)-modules and Hopf \(C^*\)-families. I.
• Locally compact quantum groups in the von Neumann algebraic setting
• A C*-ALGEBRAIC FRAMEWORK FOR QUANTUM GROUPS
• QUANTUM GROUPOIDS OF COMPACT TYPE
• The Fourier Algebra for Locally Compact Groupoids
• Weak Hopf algebras. II: Representation theory, dimensions, and the Markov trace

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