Geodesic
The strong Morita equivalence for coactions of a finite-dimensional $C^*$-Hopf algebra on unital $C^*$-algebras
Kazunori Kodaka 1   ; Tamotsu Teruya 2
1 Department of Mathematical Sciences Faculty of Science Ryukyu University Nishihara-cho, Okinawa, 903-0213, Japan
2 Faculty of Education Gunma University 4-2 Aramaki-machi Maebashi City, Gunma, 371-8510, Japan
Studia Mathematica, Tome 228 (2015) no. 3, pp. 259-294 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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.
DOI : 10.4064/sm228-3-4
Keywords: following jansen waldmann kajiwara watatani introduce notions coactions finite dimensional * hopf algebra hilbert * bimodule finite type sense kajiwara watatani define their crossed product investigate their basic properties strong morita equivalence coactions preserves rokhlin property coactions finite dimensional * hopf algebra unital * algebras

Kazunori Kodaka  1   ; Tamotsu Teruya  2

1 Department of Mathematical Sciences Faculty of Science Ryukyu University Nishihara-cho, Okinawa, 903-0213, Japan
2 Faculty of Education Gunma University 4-2 Aramaki-machi Maebashi City, Gunma, 371-8510, Japan 
@article{10_4064_sm228_3_4,
     author = {Kazunori Kodaka and Tamotsu Teruya},
     title = {The strong {Morita} equivalence for coactions of a finite-dimensional $C^*${-Hopf} algebra on unital $C^*$-algebras},
     journal = {Studia Mathematica},
     pages = {259--294},
     year = {2015},
     volume = {228},
     number = {3},
     doi = {10.4064/sm228-3-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm228-3-4/}
}
TY  - JOUR
AU  - Kazunori Kodaka
AU  - Tamotsu Teruya
TI  - The strong Morita equivalence for coactions of a finite-dimensional $C^*$-Hopf algebra on unital $C^*$-algebras
JO  - Studia Mathematica
PY  - 2015
SP  - 259
EP  - 294
VL  - 228
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm228-3-4/
DO  - 10.4064/sm228-3-4
LA  - en
ID  - 10_4064_sm228_3_4
ER  - 
%0 Journal Article
%A Kazunori Kodaka
%A Tamotsu Teruya
%T The strong Morita equivalence for coactions of a finite-dimensional $C^*$-Hopf algebra on unital $C^*$-algebras
%J Studia Mathematica
%D 2015
%P 259-294
%V 228
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/sm228-3-4/
%R 10.4064/sm228-3-4
%G en
%F 10_4064_sm228_3_4
Kazunori Kodaka; Tamotsu Teruya. The strong Morita equivalence for coactions of a finite-dimensional $C^*$-Hopf algebra on unital $C^*$-algebras. Studia Mathematica, Tome 228 (2015) no. 3, pp. 259-294. doi: 10.4064/sm228-3-4

Cité par Sources :