The strong Morita equivalence for coactions of a finite-dimensional $C^*$-Hopf algebra on unital $C^*$-algebras
Tom 228 / 2015
Studia Mathematica 228 (2015), 259-294
MSC: Primary 46L05; Secondary 46L08.
DOI: 10.4064/sm228-3-4
Streszczenie
Following Jansen and Waldmann, and Kajiwara and Watatani, we introduce notions of coactions of a finite-dimensional $C^*$-Hopf algebra on a Hilbert $C^*$-bimodule of finite type in the sense of Kajiwara and Watatani and define their crossed product. We investigate their basic properties and show that the strong Morita equivalence for coactions preserves the Rokhlin property for coactions of a finite-dimensional $C^*$-Hopf algebra on unital $C^*$-algebras.
