Crossed products of Hilbert C$^\ast$-bimodules by countable discrete groups
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- by Tsuyoshi Kajiwara and Yasuo Watatani PDF
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Abstract:
We introduce a notion of crossed products of Hilbert C${}^{*}$-bimodules by countable discrete groups and mainly study the case of finite groups following Jones index theory. We give a sufficient condition such that the crossed product bimodule is irreducible. We have a bimodule version of Takesaki-Takai duality. We show the categorical structures when the action is properly outer, and give some example of this construction concerning the orbifold constructions.References
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Additional Information
- Tsuyoshi Kajiwara
- Affiliation: Department of Environmental and Mathematical Sciences, Okayama University, Tsushima, Okayama 700, Japan
- Email: kajiwara@math.ems.okayama-4.ac.jp
- Yasuo Watatani
- Affiliation: Graduate School of Mathematics, Kyushu University, Ropponmatsu, Fukuoka, 810 Japan
- Email: watatani@rc.kyush-u.ac.jp
- Received by editor(s): May 15, 1996
- Received by editor(s) in revised form: September 10, 1996
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 841-851
- MSC (1991): Primary 46L05, 46L37, 46L55
- DOI: https://doi.org/10.1090/S0002-9939-98-04118-5
- MathSciNet review: 1423344