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

Kazunori Kodaka; Tamotsu Teruya

Studia Mathematica (2015)

  • Volume: 228, Issue: 3, page 259-294
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Kazunori Kodaka, and Tamotsu Teruya. "The strong Morita equivalence for coactions of a finite-dimensional C*-Hopf algebra on unital C*-algebras." Studia Mathematica 228.3 (2015): 259-294. <http://eudml.org/doc/285783>.

@article{KazunoriKodaka2015,
abstract = {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.},
author = {Kazunori Kodaka, Tamotsu Teruya},
journal = {Studia Mathematica},
keywords = {-algebras; $C^*$-Hopf algebras; Hilbert -bimodules; Rokhlin property; strong Morita equivalence},
language = {eng},
number = {3},
pages = {259-294},
title = {The strong Morita equivalence for coactions of a finite-dimensional C*-Hopf algebra on unital C*-algebras},
url = {http://eudml.org/doc/285783},
volume = {228},
year = {2015},
}

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
VL - 228
IS - 3
SP - 259
EP - 294
AB - 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.
LA - eng
KW - -algebras; $C^*$-Hopf algebras; Hilbert -bimodules; Rokhlin property; strong Morita equivalence
UR - http://eudml.org/doc/285783
ER -

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