The strong Morita equivalence for coactions of a finite-dimensional C*-Hopf algebra on unital C*-algebras

• Autorzy: Kazunori Kodaka , Tamotsu Teruya
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46L05: General theory of C * -algebras
• 46L08: C * -modules

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 228
• Numer: 3
• Strony: 259-294

Daty

wydano

2015

Twórcy

autor

Kazunori Kodaka

• Department of Mathematical Sciences, Faculty of Science, Ryukyu University, Nishihara-cho, Okinawa, 903-0213, Japan

autor

Tamotsu Teruya

• Faculty of Education, Gunma University, 4-2 Aramaki-machi, Maebashi City, Gunma, 371-8510, Japan

Identyfikatory

DOI

10.4064/sm228-3-4