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Induced representations twisted by cocycles

Published online by Cambridge University Press:  17 April 2009

Huu Hung Bui
Huu Hung Bui
Affiliation:
School of Mathematics, Physics, Computing and Electronics Macquarie UniversityNew South Wales 2109, Australia
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Abstract

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We define a notion of representation induced from cocycles which encompasses the case of Kawakami's generalised induced representation. Our purpose is to formulate Kawakami's construction within the context of Rieffel's formalism of induced representations of C*-algebras.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 50 , Issue 3 , December 1994 , pp. 399 - 404
Copyright
Copyright © Australian Mathematical Society 1994

References

[1]Bourbaki, N., Intégration (Hermann, Paris, Chapter 1–4(1965), Chapter 5(1967), Chapter 7–8(1963)).Google Scholar
[2]Dinculeanu, N., Integration on locally compact spaces (Noordhoff International Publishing, Leyden, 1974).Google Scholar
[3]Kawakami, S., ‘Irreducible representations of non-regular semi-direct product groups’, Math. Japan. 26 (1981), 667–693.Google Scholar
[4]Mackey, G.W., The theory of unitary group representations (The University of Chicago press, 1976).Google Scholar
[5]Rieffel, M.A., ‘Induced representations of C*-algebras’, Adv. Math. 13 (1974), 176–257.CrossRefGoogle Scholar
[6]Varadarajan, V.S., Geometry of quantum theory (Springer-Verlag, Berlin, Heidelberg, New York, 1985).Google Scholar