FULL COACTIONS ON HILBERT C-ASTERISK-MODULES

Authors
BUI HH
Citation
Hh. Bui, FULL COACTIONS ON HILBERT C-ASTERISK-MODULES, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 59, 1995, pp. 409-420
Citations number
9
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
59
Year of publication
1995
Part
3
Pages
409 - 420
Database
ISI
SICI code
0263-6115(1995)59:<409:FCOHC>2.0.ZU;2-C
Abstract
We introduce a natural notion of full coactions of a locally compact g roup on a Hilbert C-module, and associate each full coaction in a nat ural way to an ordinary coaction. We also introduce a natural notion o f strong Morita equivalence of full coactions which is sufficient to e nsure strong Morita equivalence of the corresponding crossed product C -algebras.