$C^{\ast }$-pseudo-Kac systems and duality for coactions of concrete Hopf $C^{\ast }$-bimodules

Abstract

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

22 pages; definition of a coaction extended/corrected

References in corpus (1)

• C*-pseudo-multiplicative unitaries

Cited by in corpus (2)

• From Hopf C*-families to concrete Hopf C*-bimodules
• Finite-dimensional Hopf C*-bimodules and C*-pseudo-multiplicative unitaries