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Discrete coactions on Hilbert C*-modules

Published online by Cambridge University Press:  24 October 2008

Chi-Keung Ng
Chi-Keung Ng
Affiliation:
Mathematical Institute, 24–29 St Giles, Oxford OX1 3LB e-mail: [email protected]
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Extract

In this paper, we will investigate discrete coactions on Hilbert C*-modules. In particular, we obtain a one-to-one correspondence between Hilbert C*-modules with discrete coactions and Hilbert C*-modules over the crossed products of the original C*-algebras which satisfies some nice properties (see 3·6 and 3·7). Then we will give some applications of this correspondence in the last three sections.

In Section 2, we give some results about discrete coactions on Hilbert C*-modules which mainly correspond to those about discrete coactions on C*-algebras (see [7]).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 119 , Issue 1 , January 1996 , pp. 103 - 112
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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