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Crossed Products of Hilbert C*-Bimodules by Countable Discrete Groups
Tsuyoshi Kajiwara and Yasuo Watatani
Proceedings of the American Mathematical Society
Vol. 126, No. 3 (Mar., 1998), pp. 841-851
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/118673
Page Count: 11
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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.
Proceedings of the American Mathematical Society © 1998 American Mathematical Society