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ISSN 1088-6826(e) ISSN 0002-9939(p)

Crossed products of Hilbert $C^*$ -modules

Author(s): Huu Hung Bui
Journal: Proc. Amer. Math. Soc. 125 (1997), 1341-1348.
MSC (1991): Primary 46L05, 22D25
MathSciNet review: 1363451
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Abstract: We define the notion of crossed products of Hilbert $C^*$ -modules by regular multiplicative unitaries, which is a generalization of the notion of crossed products of $C^*$ -algebras. Crossed products of Hilbert $C^*$ -modules arise naturally as imprimitivity bimodules for the crossed products of Morita equivalent $C^*$ -algebras.

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Additional Information:

Huu Hung Bui
Affiliation: School of Mathematics, Physics, Computing and Electronics, Macquarie University, New South Wales 2109, Australia
Address at time of publication: School of Mathematics, University of New South Wales, Sydney 2052, New South Wales, Australia
Email: hung@macadam.mpce.mq.edu.au, hung@alpha.maths.unsw.edu.au

DOI: 10.1090/S0002-9939-97-03656-3
PII: S 0002-9939(97)03656-3
Received by editor(s): August 4, 1995
Received by editor(s) in revised form: October 6, 1995, October 12, 1995 and October 30, 1995
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1997, American Mathematical Society

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