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
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
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
Affiliations des auteurs :
Kazunori Kodaka 1 ; Tamotsu Teruya 2
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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},
publisher = {mathdoc},
volume = {228},
number = {3},
year = {2015},
doi = {10.4064/sm228-3-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm228-3-4/}
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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
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