C^*-pseudo-Kac systems and duality for coactions of concrete Hopf C^*-bimodules

2007/09/28 by Thomas Timmermann, Timmermann, Thomas · 1 citation
Mathematics · #46L08 (Secondary) #46L55 (Primary) #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA) #Random Matrices and Applications #math.OA #msc:46L08 #msc:46L55

paper · pdf · doi:10.48550/arxiv.0709.4617

22 pages; definition of a coaction extended/corrected

openalex publication_date 2007/09/28 · arxiv created 2007/10/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study coactions of concrete Hopf C^*-bimodules in the framework of (weak) C^*-pseudo-Kac systems, define reduced crossed products and dual coactions, and prove an analogue of Baaj-Skandalis duality.

Cited by

• Finite-dimensional Hopf C*-bimodules and C*-pseudo-multiplicative unitaries

Related

• C*-pseudo-multiplicative unitaries
• Full crossed products by Hopf C*-algebras
• Equivariance and Imprimitivity for Discrete Hopf C*-Coactions
• Coactions of Hopf-C^*-algebras and equivariant E-theory
• The strong Morita equivalence for coactions of a finite dimensional C^*-Hopf algebra on unital C^*-algebras